Linear Equations

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

Tags

CCSS.HSA.CED.A.3

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Tags

CCSS.8.EE.C.7B

Solve for a:

-8(-4+a) + 3(2a+1) = -19

• a = 27

• a = -27

• a = 3.86

• a = 1.67

Tags

CCSS.8.EE.C.7B

Solve for k:

38 + 7k = 8(k + 4)

• k = 6

• k = 8

• k = -6

• k = 1

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

Solve 8(p + 1) - 4 < 12

• p > 1

• p < 1

• p > -1

• p < -1

Tags

CCSS.7.EE.B.4B

The line below is shifted up 3 units. What is the equation of the resulting line?

• y = 2x + 5/2

• y = 2x + 4

• y = 1/2x + 4

• y = 1/2x +5/2

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Tags

CCSS.HSA.CED.A.3