Semester 1 Final Exam Review

Solving Equations

100

3x + 4 = 22

x = 6

200

2x - 10 = 12

x = 11

300

4x + 2x - 5 = 25

x = 5

400

10 - 4x + 3 = 17

x = -1

500

7x + 5 = 4x - 7

x = -4

Rearrange the Formula

100

Solve for y 

y + 2x = 10

y = -2x + 10

200

Solve for y

3x + y = 15

y = -3x + 15

300

Solve for y

8x + 2y = 16

y = -4x + 8

400

Solve for y

-4x + 5y = 20

y = 4/5x + 4

500

Solve for y

3x - 8y = 24

y = 3/8x - 3

Solving Inequalities

100

4x + 3 > 15

x > 3

200

7x - 4 < 17

x < 3

300

9 - 3x ≤ -12

x ≥ 7

400

5x - 3 < 4x + 1

x < 4

500

14 - 3x ≥ -12 + 10x

x ≤ 2

Graphing/Story Problems

100

What is the slope of this line?

y = 2/3x - 5

2/3

200

Where would you place the first dot when building this graph?

y = 5x + 4

(0,4)

300

A karaoke company charges $10 per hour for the rental, plus a one-time fee of $35 for the machine. 

Write an equation to represent this situation. 

y = 10x + 35

400

Johnny and his friends are going to the movies. Tickets are $8 per person and they will spend $20 on popcorn. They have a total of $80 to spend at the movies. 

Write an equation to represent this situation. 

8x + 20 = 80

500

Apples cost $4 per pound and oranges cost $6 per pound. You bring a total of $50 to the farmers market. Write an equation to represent the number of apples, x, and oranges, y, you can purchase today. 

4x + 6y = 50

Function Notation

100

Solve f(x) = 2x + 7 for f(2)

f(2) = 11

200

Solve g(x) = 9x - 4 for g(5)

g(5) = 41

300

Solve h(x) = -3x + 5 for h(-2)

h(-2) = 11

400

Ivy uses the function f(x) = 60x + 15 to determine the number of miles she has traveled after x hours on the road. 

Use the function to evaluate f(5). Interpret the meaning.

f(5) = 315

After 5 hours, she has traveled 315 miles. 

500

Ivy uses the function f(x) = 60x + 15 to determine the number of miles she has traveled after x hours on the road. 

Use the function to evaluate f(8). Interpret the meaning.

f(8) = 495

After 8 hours, she has traveled 495 miles.