Algebra Chapter 3

Use addition and subtraction to solve equations

100

14 = x - (-7)

What is x = 7?

200

3 - (-x) = 19

What is x = 16?

300

9 - x = 7

What is x = 2?

400

-11 = n - (-2)

What is n = -13?

500

You owed $34 to your sister. You paid x dollars back and you now owe $12. How much did you pay back?

What is $22?

Use multiplication and division to solve equations

100

3/8 y = 12

What is y = 32?

200

-5/7 t = -25

What is 35?

300

y/7 = 12

What is y = 84?

400

m/-4 = -3/4

What is 3?

500

1/3 y = 5 2/3 (read as five and two-thirds)

What is 17?

Solve multi-step equations

100

5x + 7 - 2x = 22

What is x = 5?

200

12x - (4x + 10) = 54

What is x = 8?

300

8x - 10(3 - x) = 42

What is x = 4?

400

2/3 (x + 4) = 8

What is x = 8?

500

The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.

What is 23, 50, and 64? 1st number: x 2nd number: 4 + 2x 3rd number: 3x - 5

Misc.

100

6(x - 9) = -12x + 36

What is 5?

200

Solve: 4(x - 5) = 4x - 20

What is all values of x?

300

Rewrite with integer coefficients. 1.596y - 3.08 = 0.9y

What is 1596y - 3080 = 900y?

400

A waiter typically receives about 15% of a total food bill as a tip. To earn a total of $50 in tips, about how much food would the waiter have to sell?

What is $333.33? .15x = 50 x = 333.33...

500

A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a yearly fee of $150 and $2 per day to use the volleyball courts. Write and solve an equation to find how many days you must use the volleyball courts to justify becoming a member.

What is 25 days? 8d = 150 + 2d 6d = 150 d = 25

Rewriting formulas and equations

100

I = Prt Solve for P.

What is P = I/rt?

200

Area of a trapezoid is A = 1/2 h( b_{1 + b2) Solve for b1.}

What is b_{1 = 2A/h - b2?}

300

Rewrite so that y is a functions of x. 2/3y + 4 = 2x

What is y = 3x - 6?

400

Rewrite so that y is a function of x. 1/2 (y + 5) + 4x = 3x

What is y = -2x - 5?

500

A store sells 28 ounces of peanut butter for $2.24. The store also sells 32 ounces of the same peanut butter for $2.40. Which is the better buy?

What is 32 ounces for $2.40?