Midterm Review

Evaluate and Simplify

100

Evaluate: 10 / (4 - 2) + 2 + 5 

What is 12? 

200

Evaluate the following, 

x - 5 + (x - 3)^2 if x = 6

What is 10? 

300

Evaluate: 

(1 + 7 - 5) / 3 + 2^3

What is 9? 

400

Simplify: 

3(5j + k) + 4(j + 2k)

What is 19j + 11k?

500

Evaluate: 

((2 + 3) * 3)/ (3 +2 -2)

What is 5?

Multi-Step Equations

100

Solving the equation: 4 times x plus 3 is 7 

What is: 

x=1

200

Solving Equations

4(5x+6) = 124

What is: 

x=5

300

Solving Equations

-8(x + 6) - 4=-108

What is: 

x=7

400

Twenty five minus 4 times b plus 2 times the sum of b and 3 is 34

b=

-3/2

500

Solving Equations

2(8b-7)-b=1

What is:

b=1

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5x+3=2x-15

What is:

x=-6

200

Solving Equations: 8 times p plus 1 is equal to p plus 50

What is:

p=7

300

2(x+7) = 2(x + 7)

What is: Infinite

400

How many solutions does the equation have? 

6 times the difference of x and 8 is the same as 20 less than the product of 6 and x 

What is:

NO solution

500

Solving Equations: 

2(x-1)=6(2x+8)

What is:

x=-5

Solving Proportions

100

2/x=6/-9

x=-3

200

Find three consecutive numbers that add to be 96.

What is 31, 32, and 33?

300

Find three consecutive odd numbers that add to 87.

What are 27, 29, and 31?

400

6/(b+9) = 4/(b+5)

b=3

500

(n-9)/(n+5)=7/4

n=-71/4

Solving Absolute Value Equations

100

abs (8n) =64 

What is 8 and -8? 

200

abs (x+8)=12

What is 4 and -20?

300

abs (x-3) + 8 = 3

What is no solution? 

400

-2 abs (5x-1)+4 =-10

What is 8/5 and -6/5?

500

abs (5x-5)=abs (2x +1)

What is x=2 and x=4/7?

Literal Equations/ Tax + Discount

100

You go out to dinner at Texas Roadhouse and spend $54.26, you have a coupon for 15% off and you add a 20% tip, how much do you owe? 

What is $55.34? 

200

You have a 25% of coupon for bath and body works and you spend $25.50, how much do you save? 

What is $6.38?

300

Solve the equation for x: y=mx+b

What is y-b/m = x?

400

Solve the equation for y: 4x - 2y = 6

What is y = 2x - 3? 

500

The discounted price of a computer is less than 1,225 with a 20% off sale, how much did the computer originally cost?

What is $1,531.25?

Inequalities

100

Solve the inequality: 

m -15 <= -5

What is 

m<= 10 ?

200

Translate and Solve: Twice a number x plus two is less than the difference of x and six. 

What is x is less than -12?

300

Solve and graph the inequality: -2x + 6 < 18

What is x > -6? And the graph should have an open circle on -6, and be directed toward the right?

400

Solve the inequality: The product of negative 22 and x is less than 66.

What is x is greater than -3?

500

Solve the inequality: 

-2(-2x+3)>=4 - 3(x+1)

What is 

x >= 1 ?