Linear Equations and Inequalities TEST

Which is the solution of the equation 3x – 2 = 8 – 2x ?

• x = 10

• x = 5

• x = 3

• x = 2

Tags

CCSS.8.EE.C.7B

Which statement about the equation 6(5x + 2) = 30x + 2 is true?

• x = 14 is the only solution of the equation.

• The equation is an identity.

• The equation is an inconsistent equation.

• The equation is a consistent equation.

Tags

CCSS.8.EE.C.7A

Consider the inequality 2(5 – 2x) > x – 5.

Which statements can satisfy the inequality?

Choose all that apply.

• x = 3

• x = 2

• x = 1

• x < 3

• x > 2

Tags

CCSS.6.EE.B.5

The table shows the estimated profit, P million dollars, that a company earns in a year after deducting a fixed cost of 30 million dollars from its revenue, R million dollars.

If P = 0.7R – 30 is an equation that relates R and P, which pairs of the values of R and P in the table do not satisfy the equation?

Choose all that apply.

• (50, 5)

• (60, 10)

• (70, 20)

• (80 26)

• (90, 35)

Determine if the equation 5(x – 3) + 2 = 2(x – 1) + 1 + 3x has a solution.

• One Solution

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.7A

7. A pet groomer trims off 1/8 inch of a dog’s nail during a grooming session. The length of the dog’s nail was m inches long. After the groomer cut it, it is n inches long now.

a. Write an equation for m in terms of n.

(a)  

Tags

CCSS.6.EE.C.9

7. A pet groomer trims off 1/8 inch of a dog’s nail during a grooming session. The length of the dog’s nail was m inches long. After the groomer cut it, it is n inches long now.

b. Find the value of m when n = 1.

(a)  

Tags

CCSS.7.EE.B.4A

8. A rectangle has a width of w centimeters. Its perimeter, P centimeters, is given by

P = 2(12 + w).

a. Express w in terms of P.

(a)  

Tags

CCSS.HSA.CED.A.4

8. A rectangle has a width of w centimeters. Its perimeter, P centimeters, is given by

P = 2(12 + w).

b. Find the value of w when P = 30.

(a)  

Tags

CCSS.6.EE.B.7