1.2 Use the language of algebra  (Page 8/18)

$16-9$

$3·9$

$28÷4$

$x+11$

$\left(2\right)\left(7\right)$

$\left(4\right)\left(8\right)$

$14<21$

$17<35$

$36\ge 19$

$6n=36$

$y-1>6$

$y-4>8$

$2\le 18÷6$

$a\ne 1·12$

$9·6=54$

$7·9=63$

$5·4+3$

$x+7$

$x+9$

$y-5=25$

$5^3$

$8^3$

$2^8$

${10}^5$

ⓐ $3+8·5$ ⓑ $\left(3+8\right)·5$

ⓐ $2+6·3$ ⓑ $\left(2+6\right)·3$

$2^3-12÷(9-5)$

$3^2-18÷(11-5)$

$3·8+5·2$

$4·7+3·5$

$2+8(6+1)$

$4+6(3+6)$

$4·12\text{/}8$

$2·36\text{/}6$

$\left(6+10\right)÷\left(2+2\right)$

$\left(9+12\right)÷\left(3+4\right)$

$20÷4+6·5$

$33÷3+8·2$

$3^2+7^2$

${\left(3+7\right)}^2$

$3(1+9·6)-4^2$

$5(2+8·4)-7^2$

$2\left[1+3\left(10-2\right)\right]$

$5\left[2+4\left(3-2\right)\right]$

$7x+8$ when $x=2$

$8x-6$ when $x=7$

$x^2$ when $x=12$

$x^3$ when $x=5$

$x^5$ when $x=2$

$4^x$ when $x=2$

$x^2+3x-7$ when $x=4$

$6x+3y-9$ when
$x=6,y=9$

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

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

$a^2+b^2$ when $a=3,b=8$

$r^2-s^2$ when $r=12,s=5$

$2l+2w$ when
$l=15,w=12$

$2l+2w$ when
$l=18,w=14$

8 a

13 m

$5r^2$

$6x^3$

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

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

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

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

$15x^2+6x+2$

$11x^2+8x+5$

$10y^3+y+2$

$9y^3+y+5$

$10x+3x$

$15x+4x$

$4c+2c+c$

$6y+4y+y$

$7u+2+3u+1$

$8d+6+2d+5$

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

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

the difference of 14 and 9

the difference of 19 and 8

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 sum of 8x and 3 x

the sum of 13x and 3 x

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

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.

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 $5 and $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 $750 deductible per incident. This means that he pays $750 and his insurance company will pay all costs beyond $750. If Justin files a claim for $2,100.

1. ⓐ how much will he pay?
2. ⓑ how much will his insurance company pay?

Home insurance Armando’s home insurance has a $2,500 deductible per incident. This means that he pays $2,500 and the insurance company will pay all costs beyond $2,500. If Armando files a claim for $19,400.

1. ⓐ how much will he pay?
2. ⓑ how much will the insurance company pay?

Explain the difference between an expression and an equation.

Why is it important to use the order of operations to simplify an expression?

Explain how you identify the like terms in the expression $8a^2+4a+9-a^2-1.$

Explain the difference between the phrases “4 times the sum of x and y ” and “the sum of 4 times x and y .”