Semester 1 Algebra Review - 1

Solving Equations

100

 Solve for x: 

x + 7 = 15

x = 8

200

Solve for b: 

3b = 24

b = 8

300

Solve for x: 

5x + 10 = 45

x =7

400

Solve for k: 

6 - 4k = 30

k = -6

500

Solve for n: 

The sum of five consecutive even integers is 140. Find n.

(The integers are: n - 2, n, n + 2, n + 4, n + 6)

n = 26

Inequalities

100

Solve and graph: 

x + 3 > 8

x > 5

200

Solve:

2x - 5 < 11

x < 8

300

Solve: -3x ≥ 12

x ≤ -4 

(Remember: flip the inequality sign when multiplying or dividing by a negative number!)

400

Solve: 

4x + 2 ≤ 18

 x ≤ 4

500

Solve: 

-2x + 7 > 19

x < -6

Absolute Values

100

Solve: 

|x| = 5

 x = 5 or x = -5

200

Solve: 

|x - 3| = 7

 x = 10 or x = -4

300

Solve:

|2x| = 16

x = 8 or x = -8

400

Solve:

|x + 4| = 9

x = 5 or x = -13

500

Solve: 

|3x - 6| = 12

x = 6 or x = -2

Evaluating Functions

100

If f(x) = 2x + 3, find f(4)

f(4) = 11

200

 If g(x) = x² - 5, find g(3)

g(3) = 4

300

 If h(x) = -x + 8, find h(-2)

 h(-2) = 10

400

If f(x) = 3x² + 2x - 1, find f(2)

f(2) = 15

500

If p(x) = |x - 5| + 2, find p(1)

p(1) = 6

Mixed Review

100

Is this an equation or an inequality? 

2x + 5 = 13

Equation

200

Solve: 

a - 5 = 13

a = 18

300

Solve: 

|x| < 4

 -4 < x < 4

400

 If f(x) = 5x - 7, solve f(x) = 18

x = 5

500

The sum of three consecutive odd integers is 339. Find the largest number.

 3n

 3n + 2

 3n + 4

115