How to solve one-step equations

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HSPT Math › How to solve one-step equations

Questions 1 - 10

Jasmine is participating in a swimming race. If the race is 3000 yards, what percentage of the race has she completed at the 2400 yardline?

Explanation

Divide $2400\div 3000=.80$ .

Answer: Jasmine has completed 80% of the race.

The four angles of a quadrilateral measure $84 ^{\circ }, 97^{\circ }, x ^{\circ } , (x + 15)^{\circ }$ .

What is ?

$x=82^{\circ }$

$x=8^{\circ }$

$x=164^{\circ }$

$x=97^{\circ }$

$x=67^{\circ }$

Explanation

The measures of the four angles of a quadrilateral total $360^{\circ }$ , so set up this equation and solve:

$2x \div 2= 164 \div 2$

$x=82^{\circ }$

Solve: $\frac{x}{0.02} = 50$

$\frac{1}{50}$

$\frac{1}{100}$

Explanation

Multiply on both sides of the equation to isolate the variable.

$\frac{x}{0.02} \times 0.02= 50\times 0.02$

If , solve for .

Explanation

First, subtract 3 from both sides:

$\dpi{100} 4x+3-3=15-3$

$\dpi{100} 4x=12$

Now divide by 4 on both sides:

$\dpi{100} \frac{4x}{4}=\frac{12}{4}$

$\dpi{100} x=3$

Solve:

Explanation

To solve for , divide by eight on both sides of the equation.

$\frac{8x}{8}=\frac{3200}{8}$

A bicycle originally costs \$120.00. If it is on sale for 30% off, what is the sale price of the bicycle?

$\$84.00$

$\$156.00$

$\$117.00$

$\$90.00$

Explanation

First multiply the original price by 30%.

$120\ast .30=36$

Then subtract that amount from the original price.

The sale price is \$84.00

$8\cdot \left ( 2\cdot 5 \right ) \div \left ( 4\cdot 1 \right )=$

Explanation

First solve the parentheses.

$8 * 10 \div 4=$

Then solve from left to right since multiplication and division are interchangeable:

$80\div 4=20$

The answer is 20.

What is ?

Explanation

First, subtract 14 from each side:

Then, divide each side by 8:

$\frac{8n}{8}=\frac{56}{8}$

Alegra is taking a cooking class with friends. It is 40 dollars for every two people who participate because people are supposed to work in pairs. But if someone does not have a partner, that person can still participate but must pay \$30 for him or herself. Alegra's four best friends participate in the class with her, and they divide the cost evenly. What is the total cost per person?

22 dollars

60 dollars

30 dollars

20 dollars

Explanation

Since Alegra is taking the class with 4 friends, that means there are a total of 5 people. This means that there are 2 pairs of friends, and one alone friend.

Below are the prices that will be charged based on this make up:

2 pairs of people at 40 dollars per pair = 80 dollars

1 solo person at 30 dollars per person = 30 dollars

80 dollars plus 30 dollars is 110 dollars, the grand total.

When 110 dollars is divided by 5, the answer is 22. Therefore, 22 dollars is the correct answer.