Equations and Inequalities Test Algebra

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve the compound inequality above and identify the graph which represents the solution.

• A

• B

• C

• D

Solve : -8(-8x - 6) = -6x - 22

• 2/5

• -1

• 8/7

• 2

Tags

CCSS.8.EE.C.7B

Solve the compound inequality: 3x + 2 < -4 or 4x + 4 > 24

• x < -2 or x > 5

• x < 2 or x > 5

• x < -2 and x > 5

• x < 2 and x > 5

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

Write a linear equation to represent this situation.

Mathematical Equivalence

ON

Answer explanation

Because this is a linear function, we will use slope-intercept form (y = mx + b).

$80 is the starting or fixed cost which represents the b, or the y-intercept.

$45 is the rate per hour which represents the m, or the slope.

Therefore, the equation is y = 45x + 80.

Tags

A.2(A)

Write the slope-intercept form of the of the line through the given point with the given slope:

Mathematical Equivalence

ON

The slope parallel to the equation f(x)=5x-10 is (a)  

• 5

• -5

• -10

• 15

Tags

CCSS.8.EE.B.5

Solve the compound inequality:

37 > 7 −6x > −17

• (4, -5)

• (-5, 4)

• (5, -4)

• (-5, -4)

Solve: 5(2x -1) = -5+ 10x

• x = 5

• x = 0

• all real numbers

• no solution

Tags

CCSS.8.EE.C.7B

What is the first step to solve this equation:

- 2x + 20 = 44

• Add 3 to both sides

• Subtract 20 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A