Unit 1-5 Lesson 1

Add the following: (-51) + (34) = ?

-17

Solve the following. (-12) x (16) = ?

-192

A washer, nut, and locknut have a thickness of 1/2, 3/8 and 5/16 inches each. What is their total thickness?

1 3/16 (one and three sixteenths)

Add the following fractions. Simplify if possible. 1/3 + 1/4 + 1/8 = ?

17/24

Add the following fractions and express the answer in lowest terms. 1/3 +1/4 + 1/5 +1/6 = ?

19/20

Solve the following. (-392) ÷ (-7) = ?

56

Find the value of Q in the equation: Q/7 = 9

63

A jet travels 2,000 miles in five hours. At the same rate of speed, how long would it take the plane to travel 3,200 miles? (Solve by ratio.)

8 hours

Three shims were placed under one side of a transformer to level it. They were 1/16, 3/16 and 5/16 inches thick, respectively. What was their total thickness?

9/16

A formula states that A1/A2 = B1/B2 Find A2 when: A1 = 800 B1 = 640 B2 = 400

A2 = 500

A proportion is an equation that states that two ratios are __?__.

Equal

If a negative number is multiplied by a positive number, or a positive number is multiplied by a negative number, the product will be positive.

False

If you add a number to one side of an equation when isolating the variable, you must subtract the same number from the other side of the equation.

False

When dividing signed numbers, if the numbers in the divisor and the dividend have the same sign, either positive or negative, the resulting quotient will be negative.

False

To solve an equation, you must find the value(s) of the variable that make the equation true. This is done by __?__ the variable.

Isolating

Solve for P in the following problem using the cross multiplication method. 5/P = 9/54

P=30

The rule for adding fractions having the same denominator is to add the numerators and place the sum over the same denominator.

True

To multiply fractions, first multiply the numerators to find the numerator of the product. Then multiply the denominators to find the denominator of the product.

True

A ratio is a comparison of two quantities by __?__.

division

When writing __?__ fractions, you must multiply the numerator and denominator by the same number so that the value of the fraction is not changed.

equivalent

The least common multiple of a set of denominators is called the __?__.

least common denominator

To solve equations that have more than one operation, you will need to apply more than one operation in order to isolate the __?__.

variable