Mid-Chapter 7 Review - Compacted

Two-Step Equations

100

-7x-1=-15

x=2

200

-2(x+5)=12

x=-11

300

-1/4(x+3)=-4

x=13

400

-6+2x=-4

x=1

500

-12 - 3x = 18

x=-10

Equations with variables on both sides

100

3x+6=2x

x=-6

200

10-x=9x

x=1

300

8.7x - 3= 5.5x + 3.4

x=2

400

8x+6=4x-10

x=-4

500

-5.2x+2.9=-12x+30.1

x=4

Multi-Step Equations

100

5(x-3)+1=16

x=6

200

3(x-4)=4(x-6)

x=12

300

-x + 2(3+x) = -4(x+1)

x=-2

400

2(x+2) - 4 = 2x

infinitely many solutions

500

5 + 3y = 3(2+y)

no solution

Word Problems

100

6 less than twice a number is -22

2x-6=-22

x=-8

200

Kendra pays $132 for shoes and clothes. The clothes cost $54 more than the shoes. How much do the shoes cost?

2s+54=132

x=$39

300

John is debating between two gyms.

Gym A has a membership fee of $45 and costs $18 per month. Gym B has a membership fee of $60 and costs $15 per month. At how many months would the costs be the same?

45+18x=60+15x

x= 5 months

400

Anthony cooks 6 servings of a meal containing pasta and meat. Each serving has 3 ounces of meat and an equal amount of pasta. The recipe makes a total of 42 ounces. Determine how many ounces of pasta are in one serving. 

6(P + 3) = 42

p = 4 ounces

500

The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). The perimeter of the triangle is 80 centimeters. What is the length of the shortest side of the triangle?

5x+32+2(3x+2)=80

x=4

shortest side - 5(4) = 20 cm