How to evaluate rational expressions - ACT Math
Card 0 of 36
Find the product of 
and 
.
Find the product of
Solve the first equation for 
.
Solve the second equation for 
.
The final step is to multiply 
and 
.
Solve the first equation for
Solve the second equation for
The final step is to multiply
Compare your answer with the correct one above
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Compare your answer with the correct one above
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
Compare your answer with the correct one above
What is
?
What is
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
Compare your answer with the correct one above
Find the product of and .
Find the product of
Solve the first equation for .
Solve the second equation for .
The final step is to multiply and .
Solve the first equation for
Solve the second equation for
The final step is to multiply
Compare your answer with the correct one above
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Compare your answer with the correct one above
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
Compare your answer with the correct one above
What is
?
What is
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
Compare your answer with the correct one above
Find the product of and .
Find the product of
Solve the first equation for .
Solve the second equation for .
The final step is to multiply and .
Solve the first equation for
Solve the second equation for
The final step is to multiply
Compare your answer with the correct one above
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Compare your answer with the correct one above
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
Compare your answer with the correct one above
What is
?
What is
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
Compare your answer with the correct one above
Find the product of and .
Find the product of
Solve the first equation for .
Solve the second equation for .
The final step is to multiply and .
Solve the first equation for
Solve the second equation for
The final step is to multiply
Compare your answer with the correct one above
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Compare your answer with the correct one above
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
Compare your answer with the correct one above
What is
?
What is
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
Compare your answer with the correct one above
Find the product of and .
Find the product of
Solve the first equation for .
Solve the second equation for .
The final step is to multiply and .
Solve the first equation for
Solve the second equation for
The final step is to multiply
Compare your answer with the correct one above
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy buys concert tickets for herself and her friends. She initially buys them at \$40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to \$54. Amy buys 7 tickets total and spends \$350. How many tickets has she paid \$40 on?
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Amy has bought 7 tickets, x of them at \$40/ticket, and the remaining 7-x at \$54/ticket. She spends at total of
Compare your answer with the correct one above
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The following table shows the temperature of a cup of coffee at different times
Time 1:09 1:11 1:13 1:15 1:17
Temperature (ºF) 187.1 184.4 181.7 179.0 176.3
If this trend continues, what will the temperature of the coffee at minute 1:25?
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
The table shows that for every two minutes, the temperature of the coffee lowers 2.7ºF. At 1:25, 16 minutes, or eight 2-minute intervals have passed, and the temperature of the coffee has lowered by 8*2.7ºF, reaching a temperature of 165.5ºF.
Compare your answer with the correct one above
What is
?
What is
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
To find an equivalency we must rationalize the denominator.
To rationalize the denominator multiply the numerator and denominator by the denominator.
To simplify completely, factor out a three from the numerator and denominator resulting in the final solution.
Compare your answer with the correct one above