Math 8 Module 7 Review

Solve
4a - 4 = 8 + a

• a = 0.8
• a = 2.4
• a = 2
• a = 4

Hue is arranging chairs. She can form 6 rows of a given length with 3 chairs left over, or 8 rows of the same length if she gets 11 more chairs. Write and solve an equation to find how many chairs are in that row length.

• 6c + 3 = 8c + 11; c = 4 ; 4 chairs in each row
• 6c + 3 = 8c - 11; c = 7; 7 chairs in each row
• 6 + 3c = 11c - 8; c = 1; 1 chair in each row
• 6c + 3 = 8c - 11; c = 14; 14 chairs in each row

Does the equation have one solution, no solutions, or infinitely many solutions?
3m + 8 = 3(4 + m)

• one solution
• no solutions
• infinitely many solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which equation has the same solution as
1.5d + 3.25 = 1 + 2.25d

• 4x - 4 = -3x + 1
• 5(2n - 1) = -2(-4n - 0.5)
• 12.5 - 4g = -2g - 3.5
• 6x - 7 = 3x + 5

Write an equation to solve the story problem.
Company A offers a starting salary of $28,000 with a raise of $3,000 each year. Company B offers a starting salary of $36,000 with a raise of $2,000 per year. After how many years would the salaries for Companies A and B be the same?

• 28000x + 3000 = 36000x + 2000
• 28000 + 3000x = 36000 + 2000
• 28000x + 3000 = 36000 + 2000x
• 28000 + 3000x = 36000 + 2000x

Tammy bought a shirt and shorts at the store and paid 5% in sales tax. The total sales tax was $1.50. If the shirt cost $12, which equation could be used to find the cost of the shorts?

• 0.05(x+12) = 1.50
• 0.05 * 12 + x = 1.50
• 0.05x = 1.50 + 12
• 0.05 * 1.50 = x + 12

What number could you multiple both sides of the equation by to clear the fractions?

• 12
• 24
• 3
• 30

Does the equation have one solution, no solutions, or infinitely many solutions?
3(y - 2) = 3y - 6

• one solution
• no solutions
• infinitely many solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

If you multiple both sides of the equation by 24, what will be the resulting equation?

• 72 +16x = 20x - 21
• 3 + 16x = 20x - 21
• 72 + 36x = 28.8x - 27
• 3 + 2x = 5x - 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Write an equation and solve.

Cell phone company A charges $20 per month plus $0.05 per text message. Cell phone company B charges $10 per month plus $0.07 per text message. Is there any number of text messages that will result in the exact same charge from both companies for one month?

• 20 + 0.05x = 10 + 0.07x ; x = 250 texts
• 20 + 0.05x = 10 + 0.07x ; x = 500 texts
• 20x + 0.05 = 10x + 0.07 ; x = 500 texts
• 20x + 0.05 = 10x + 0.07 ; x = 250 texts