BMST Algebraic Equations and Inequalities 5

Question 1

Solve for y: 7y + 3 = 5y + 11

Accepted Answer

y = 4

Answer

Subtract 5y from both sides to get 2y + 3 = 11, then subtract 3 and divide by 2 to get y = 4.

Question 2

If 3x + 2 = 17, what is the value of 6x?

Accepted Answer

30

Answer

Solving gives 3x = 15, so x = 5, and 6x = 30.

Question 3

A rectangle has length (2x + 3) and width 4. If the perimeter is 38, find x.

Accepted Answer

x = 6

Answer

Using P = 2l + 2w: 2(2x+3) + 2(4) = 38 gives 4x + 14 = 38, so 4x = 24 and x = 6.

Question 4

Solve the inequality: 2x - 3 < 7. What is the boundary value?

Accepted Answer

x = 5

Answer

Adding 3 to both sides gives 2x < 10, then dividing by 2 gives x < 5, so the boundary is 5.

Question 5

Which equation is equivalent to 4(x - 2) = 12?

Accepted Answer

4x = 20

Answer

Distributing gives 4x - 8 = 12, and adding 8 to both sides gives 4x = 20.

BMST - Basic Math and Science Test Practice Test