Writing Expressions and Equations
Evaluating Expressions
Translating word problems into equations
Simplifying Expressions
Consecutive Integers
100

Eight less than half a number

0.5n-8

100

18 - (-6)2 / 9

-4

100

Shelley made 5 more sales calls than Clark. Shelley and Clark made a total of 33 sales calls. How many sales calls did each make?

c + (5 + c) = 33

100

3(x - 2) - 5(x - 3)

-2x + 9

100

The sum of two consecutive integers is 93.

n + n + 1 = 93

200

Twice the difference of a number and seven

2(n-7)

200

6 - 2[5 + 3(6/2)]

-22

200

On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lowest grade.

g + g+42 = 138
200

5 - (x - 7 + y)

-x + 12 - y

200

The product of two consecutive odd integers is 99.

n(n + 2) = 99

300

Eight is five less than twice a number.

8=2n-5

300

Evaluate when a = -3, b = -2, c = 2.

c - (a - b)

3

300

At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did for tranquilizers. She had 84 prescriptions for the two types of drugs. How many prescriptions did she have for tranquilizers?

4/3t + t = 84

300

-2[2x - 3(x + 1)]

2x + 6

300

The smaller of two consecutive even integers is eight less than twice the greater.

n = 2(n + 2) - 8

400

The sum of one-third of a number and twelve is 23.

1/3n+12=23

400

Evaluate when a = -3, b = -2, and c = 2.

2a - (4b+2)

0

400

Jose has a board that is 44 inches long. He wishes to cut it into two pieces so that one piece will be 6 inches longer than the other. How long should the shorter piece be?

x + x + 6 = 44

400

-2(2x + y) - 7(y - x)

3x - 9y

400

The sum of two consecutive integers is one less than twice the greater integer.

n + n + 1 = 2(n + 1) - 1

500

The product of 7 and the sum of twice the number x and 3 is 126.

7(2x+3)=126

500

Evaluate when a = -3, b = -2, and c = 2.

ab - bc - /a/

7

500

Karin’s mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together, Betty and Bessie produced 1464 gallons of milk. How many gallons did each cow give?

2b - 375 + b = 1464

500

1/2(8x + 10y) - 1/3(15x - 3y)

-x + 6y

500

The sum of three consecutive even integers is 30 more than the smallest integer.

n + n + 2 + n + 4 = 30 + n