Mathardy

Simple Equations

100

4 + y/6 = 9

y = 30

200

When Laura is 6 times as old as she is now, she will be 84. How old is she?

Laura is 14 years old.

300

The difference of a number and 27 is -14. Find the number.

The number is 13.

400

3w = 1/4

w = 1/12

500

y/3.7 - 1.5 = -2.8

y = -4.81

MultiStep Equations

100

4a + 8a = 12

a = 1

200

4(w - 7) = 8

w = 9

300

Express the repeating decimal as a quotient of integers (a fraction): 0.545454...

6/11

400

(4y - 4)/8 + 26/2 = 1/4

y = -49/2

500

The sum of three consecutive integers is 84. Find the integers.

27, 28, and 29

Literal Equations

100

Solve x/r = r for x.

x = r²

200

Solve nx/b - n = x for n. 

n = bx/(x - b)

300

Solve y = mx + b for b.

b = y - mx

400

Solve ax + b + a(x + b) = b for x.

x = -b/2

500

Solve d_f = vt + d_i for v. Given d_f = 324 ft, t = 2 sec, and d_i = 150 ft.

v = (d_f - d_i)/t

v = 88 ft/sec

Ratios and Proportions

100

Find the unit rate.

$370 for 40 hr. of work.

$9.25 per hour

200

A bag contains 5 red marble, 15 blue marbles, and 35 green marbles. What is the ratio of blue marbles to green marbles?

3 to 7

300

Solve the proportion

4x/7 = 64/56

x = 2

400

If Jeremy earned $76 in 8 hours, how much will he earn in 20 hours?

$190

500

Solve the proportion

(n + 1)/15 = (n - 1)/12

n = 9

Surprise

100

Stephon is an engineer studying stopping distance in feet of a car traveling 55 mi/hr. What is the speed in feet per second?

80 2/3 ft/sec

200

What is the difference between an equation and an expression?

An equal sign

300

What property is this: a(b + c) = ab + ac

The distributive property.

400

The set of numbers called the integers is represented with a Z, because of the German word for number. What is the German word for number?

Zahlen

500

Why do you need a common denominator when adding and subtracting fractions?

Because when you add and subtract things they must have the same name.