QUIZ 1: SOLVING EQUATIONS

Kobe's overtime pay is $5 an hour more than his regular pay. He worked 8 hours at his regular wage and 3 hours at his overtime wage. He earned $114. What is Kobe's regular wage per hour?

$9 per hour

The sum of four consecutive integers is 74. What is the first integer?

17

Using the formula P = 2( a + b ), find a when P = 15 and b = 5.

2.5

In solving the proportion x-3/4 = 1/4, which of the following would be your first step?

4( x - 3) = 4(1)

Simplify 3 x + 6 x^2 - 5 x - x^2 .

5 x^2 - 2 x

A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2 x + 4. What is the rectangle's length?

8

Simplify 8( x - 4).

8 x - 32

The expression 4 y - 6 + 4 y 2 - 9 contains three terms.

False

To solve for y in the equation 2 x + y = 5, subtract 2 from both sides of the equation.

False

Solve -(2 x + 4) = 18.

not -7

Solve 3 x - 5 + x = 31.

not 12

A triangle has one side that measures 9 units, another side that measures x , and a third side that measures 2 units more than x . The perimeter is 29 units. Which equation would we use to find the value of x ?

x + x + 2 + 9 = 29

When simplified, which of the following expressions has a coefficient of 5?

-4 x + 9 x

Solve the following equation, explaining what you did in each step of your solution. After solving the equation, show the steps to check your solution. 3 x + 2(4 + 6 x ) = 113

3 x + 2(4 + 6 x ) = 113 - 2 3 x (4 + 6 x ) = 3/111 (4 + 6 x ) = 4 - 37 6 x = 6/-33 x = -5.5

Which of the terms cannot be combined with the others?

3 xy

9 x 2 and 5 x are like terms.

False

The equation r = u/st is equivalent to u = rst .

True

To solve for m in the formula D=M/V, use the multiplication property of equality.

True