2.2 Evaluate, simplify, and translate expressions  (Page 5/9)

$7x+8\text{when}x=2$

$9x+7\text{when}x=3$

$5x-4\text{when}x=6$

$8x-6\text{when}x=7$

$x^2\text{when}x=12$

$x^3\text{when}x=5$

$x^5\text{when}x=2$

$x^4\text{when}x=3$

$3^x\text{when}x=3$

$4^x\text{when}x=2$

$x^2+3x-7\text{when}x=4$

$x^2+5x-8\text{when}x=6$

$2x+4y-5\text{when}x=7,y=8$

$6x+3y-9\text{when}x=6,y=9$

${(x-y)}^2\text{when}x=10,y=7$

${(x+y)}^2\text{when}x=6,y=9$

$a^2+b^2\text{when}a=3,b=8$

$r^2-s^2\text{when}r=12,s=5$

$2l+2w\text{when}l=15,w=12$

$2l+2w\text{when}l=18,w=14$

$15x^2+6x+2$

$11x^2+8x+5$

$10y^3+y+2$

$9y^3+y+5$

$8a$

$13m$

$5r^2$

$6x^3$

$x^3,8x,14,8y,5,8x^3$

$6z,3w^2,1,6z^2,4z,w^2$

$9a,a^2,16ab,16b^2,4ab,9b^2$

$3,25r^2,10s,10r,4r^2,3s$

$10x+3x$

$15x+4x$

$17a+9a$

$18z+9z$

$4c+2c+c$

$6y+4y+y$

$9x+3x+8$

$8a+5a+9$

$7u+2+3u+1$

$8d+6+2d+5$

$7p+6+5p+4$

$8x+7+4x-5$

$10a+7+5a-2+7a-4$

$7c+4+6c-3+9c-1$

$3x^2+12x+11+14x^2+8x+5$

$5b^2+9b+10+2b^2+3b-4$

The sum of 8 and 12

The sum of 9 and 1

The difference of 14 and 9

8 less than 19

The product of 9 and 7

The product of 8 and 7

The quotient of 36 and 9

The quotient of 42 and 7

The difference of $x$ and $4$

$3$ less than $x$

The product of $6$ and $y$

The product of $9$ and $y$

The sum of $8x$ and $3x$

The sum of $13x$ and $3x$

The quotient of $y$ and $3$

The quotient of $y$ and $8$

Eight times the difference of $y$ and nine

Seven times the difference of $y$ and one

Five times the sum of $x$ and $y$

Nine times five less than twice $x$

Adele bought a skirt and a blouse. The skirt cost $\text{\$15}$ more than the blouse. Let $b$ represent the cost of the blouse. Write an expression for the cost of the skirt.

Eric has rock and classical CDs in his car. The number of rock CDs is $3$ more than the number of classical CDs. Let $c$ represent the number of classical CDs. Write an expression for the number of rock CDs.

The number of girls in a second-grade class is $4$ less than the number of boys. Let $b$ represent the number of boys. Write an expression for the number of girls.

Marcella has $6$ fewer male cousins than female cousins. Let $f$ represent the number of female cousins. Write an expression for the number of boy cousins.

Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels. Let $n$ represent the number of nickels. Write an expression for the number of pennies.

Jeannette has $\text{\$5}$ and $\text{\$10}$ bills in her wallet. The number of fives is three more than six times the number of tens. Let $t$ represent the number of tens. Write an expression for the number of fives.

Car insurance Justin’s car insurance has a $\text{\$750}$ deductible per incident. This means that he pays $\text{\$750}$ and his insurance company will pay all costs beyond $\text{\$750.}$ If Justin files a claim for $\text{\$2,100,}$ how much will he pay, and how much will his insurance company pay?

Home insurance Pam and Armando’s home insurance has a $\text{\$2,500}$ deductible per incident. This means that they pay $\text{\$2,500}$ and their insurance company will pay all costs beyond $\text{\$2,500.}$ If Pam and Armando file a claim for $\text{\$19,400,}$ how much will they pay, and how much will their insurance company pay?

Explain why “the sum of x and y ” is the same as “the sum of y and x ,” but “the difference of x and y ” is not the same as “the difference of y and x .” Try substituting two random numbers for $x$ and $y$ to help you explain.

Explain the difference between $\text{“4}$ times the sum of $x$ and $y\text{”}$ and “the sum of $4$ times $x$ and $y\text{.”}$