Evaluate Expressions With Variables - 6th Grade Math
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What is the value of $12 - 2y$ when $y = 3$?
What is the value of $12 - 2y$ when $y = 3$?
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$6$. Replace $y$ with $3$: $12 - 2(3) = 12 - 6 = 6$.
$6$. Replace $y$ with $3$: $12 - 2(3) = 12 - 6 = 6$.
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What does it mean to evaluate an expression at $x = 4$?
What does it mean to evaluate an expression at $x = 4$?
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Substitute $4$ for $x$ and compute the value. Replace the variable with the given number in the expression.
Substitute $4$ for $x$ and compute the value. Replace the variable with the given number in the expression.
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What is the correct order of operations used when evaluating expressions?
What is the correct order of operations used when evaluating expressions?
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Parentheses, exponents, multiply/divide, add/subtract. Remember PEMDAS: operations are performed in this specific sequence.
Parentheses, exponents, multiply/divide, add/subtract. Remember PEMDAS: operations are performed in this specific sequence.
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What is the value of $3x + 5$ when $x = 4$?
What is the value of $3x + 5$ when $x = 4$?
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$17$. Replace $x$ with $4$: $3(4) + 5 = 12 + 5 = 17$.
$17$. Replace $x$ with $4$: $3(4) + 5 = 12 + 5 = 17$.
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What is the value of $5(a - 2)$ when $a = 7$?
What is the value of $5(a - 2)$ when $a = 7$?
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$25$. First find $a - 2 = 7 - 2 = 5$, then multiply by $5$.
$25$. First find $a - 2 = 7 - 2 = 5$, then multiply by $5$.
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What is the value of $3(x + 4) - 2$ when $x = 1$?
What is the value of $3(x + 4) - 2$ when $x = 1$?
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$13$. First add: $1 + 4 = 5$, multiply by $3$ to get $15$, then subtract $2$.
$13$. First add: $1 + 4 = 5$, multiply by $3$ to get $15$, then subtract $2$.
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What is the value of $ rac{x}{3} + 2$ when $x = 9$?
What is the value of $ rac{x}{3} + 2$ when $x = 9$?
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$5$. Calculate $ rac{9}{3} = 3$, then add $2$ to get $5$.
$5$. Calculate $ rac{9}{3} = 3$, then add $2$ to get $5$.
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What is the value of $2^n$ when $n = 5$?
What is the value of $2^n$ when $n = 5$?
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$32$. Calculate $2^5 = 2 imes 2 imes 2 imes 2 imes 2 = 32$.
$32$. Calculate $2^5 = 2 imes 2 imes 2 imes 2 imes 2 = 32$.
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What is the value of $x^2 - 1$ when $x = 6$?
What is the value of $x^2 - 1$ when $x = 6$?
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$35$. Square $6$ to get $36$, then subtract $1$.
$35$. Square $6$ to get $36$, then subtract $1$.
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What is the value of $4 + 3x^2$ when $x = 2$?
What is the value of $4 + 3x^2$ when $x = 2$?
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$16$. First square $2$ to get $4$, multiply by $3$, then add $4$.
$16$. First square $2$ to get $4$, multiply by $3$, then add $4$.
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What is the value of $(x + 1)^2$ when $x = 3$?
What is the value of $(x + 1)^2$ when $x = 3$?
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$16$. First add: $3 + 1 = 4$, then square to get $16$.
$16$. First add: $3 + 1 = 4$, then square to get $16$.
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What is the value of $6 - (2x + 1)$ when $x = 2$?
What is the value of $6 - (2x + 1)$ when $x = 2$?
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$1$. Calculate inside parentheses first: $2(2) + 1 = 5$, then $6 - 5 = 1$.
$1$. Calculate inside parentheses first: $2(2) + 1 = 5$, then $6 - 5 = 1$.
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What is the value of $ rac{1}{2}bh$ when $b = 8$ and $h = 5$?
What is the value of $ rac{1}{2}bh$ when $b = 8$ and $h = 5$?
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$20$. This is the area formula for a triangle: $ rac{1}{2} imes 8 imes 5 = 20$.
$20$. This is the area formula for a triangle: $ rac{1}{2} imes 8 imes 5 = 20$.
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What is the value of $2(x - 3)^2$ when $x = 5$?
What is the value of $2(x - 3)^2$ when $x = 5$?
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$8$. First find $5 - 3 = 2$, square to get $4$, then multiply by $2$.
$8$. First find $5 - 3 = 2$, square to get $4$, then multiply by $2$.
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What is the value of $-3x + 2$ when $x = 4$?
What is the value of $-3x + 2$ when $x = 4$?
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$-10$. Multiply first: $-3(4) = -12$, then add $2$ to get $-10$.
$-10$. Multiply first: $-3(4) = -12$, then add $2$ to get $-10$.
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What is the total cost $C = 2.50n$ for $n = 6$ items?
What is the total cost $C = 2.50n$ for $n = 6$ items?
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$15$. Multiply unit price by quantity: $2.50 imes 6 = 15$.
$15$. Multiply unit price by quantity: $2.50 imes 6 = 15$.
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What is the distance $d = 60t$ traveled in $t = 2.5$ hours?
What is the distance $d = 60t$ traveled in $t = 2.5$ hours?
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$150$. Use distance formula: speed times time equals $60 imes 2.5 = 150$.
$150$. Use distance formula: speed times time equals $60 imes 2.5 = 150$.
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What is the value of $2x^2$ when $x=-3$?
What is the value of $2x^2$ when $x=-3$?
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$18$. $2(-3)^2 = 2(9) = 18$
$18$. $2(-3)^2 = 2(9) = 18$
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What is the value of $4-(2t-1)$ when $t=3$?
What is the value of $4-(2t-1)$ when $t=3$?
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$-1$. $4-(2(3)-1) = 4-(6-1) = 4-5 = -1$
$-1$. $4-(2(3)-1) = 4-(6-1) = 4-5 = -1$
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What is the value of $ rac{x+5}{2}$ when $x=7$?
What is the value of $ rac{x+5}{2}$ when $x=7$?
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$6$. $ rac{7+5}{2} = rac{12}{2} = 6$
$6$. $ rac{7+5}{2} = rac{12}{2} = 6$
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What is the value of $3(m-2)+5$ when $m=2$?
What is the value of $3(m-2)+5$ when $m=2$?
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$5$. $3(2-2)+5 = 3(0)+5 = 0+5 = 5$
$5$. $3(2-2)+5 = 3(0)+5 = 0+5 = 5$
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What is the value of $6-2(1-k)$ when $k=-2$?
What is the value of $6-2(1-k)$ when $k=-2$?
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$0$. $6-2(1-(-2)) = 6-2(3) = 6-6 = 0$
$0$. $6-2(1-(-2)) = 6-2(3) = 6-6 = 0$
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What is the value of $ rac{2}{3}x+4$ when $x=9$?
What is the value of $ rac{2}{3}x+4$ when $x=9$?
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$10$. $ rac{2}{3}(9)+4 = 6+4 = 10$
$10$. $ rac{2}{3}(9)+4 = 6+4 = 10$
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What does it mean to evaluate an expression such as $3x+2$ when $x=5$?
What does it mean to evaluate an expression such as $3x+2$ when $x=5$?
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Substitute $x=5$ and simplify to get a number. Replace the variable with its given value and calculate.
Substitute $x=5$ and simplify to get a number. Replace the variable with its given value and calculate.
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What is the value of $3x+2$ when $x=5$?
What is the value of $3x+2$ when $x=5$?
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$17$. $3(5)+2 = 15+2 = 17$
$17$. $3(5)+2 = 15+2 = 17$
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