Algebra 1 Chapter 1 Review

Solving Linear Equations

100

Solve.

5 - 3x = 26

x = -7

200

Solve for x. 

3/(2x) = 5/7

x = 21/10

300

Solve for x. 

3 - 7(3 + 2x) = 10

x = -2

400

Solve for x.

2x - 5 = 3x + 7 + 3x

x = -3

500

Solve for x.

2(x - 4) + 5x = 3x + 12

x = 5

Solving Equations with Fractions and Decimals

100

Solve for x.

2/3x - 4 = 6

x = 15

200

Solve for x.

3/5x + 2 = 1/5x + 6

x = 10

300

Solve for x.

0.4(x + 3) = 2.4

x = 3

400

Solve for x.

x/2 - 5/6 = x/3 + 1/2

x = 8

500

Solve for x.

0.25(2x - 4) + 0.15 = 0.35x + 0.05

x = 6

Solving Absolute Value Equations

100

Solve for x

abs(x - 4) = 9

x = 13, -5

200

Solve for x.

abs(2x + 6) = 0

x = -3

300

Solve for x.

2abs(x + 1) - 5 = 9

x = 6, -8

400

Solve for x.

3 - abs(x + 6) = 12

No Solution

500

Solve for x.

3abs(2x - 5) + 4 = 19

x = 0, 5

Word Problems and Literal Equations

100

If you drove 500 miles and were driving at a speed of 50 miles per hour the entire time, how long were you driving for? Include units.  Use:  

d = rt

10 hours

200

The temperature in a classroom, T, should be within 2 degrees of 70 degrees. Write an absolute value equation that describes this scenario.

abs(T-70) = 2

abs(70-T) = 2

300

The equation for the area of a triangle is 

A = 1/2bh

If the area of a triangle is 12 cm squared and the height is 8 cm, find the length of the base. Include units!

3 cm

400

Saratoga High School is creating their master schedule. The ideal number of students per class is 24 but they will run the class if they are within 5 students of that goal. If C represents the number of students in a class, write an absolute value equation that models that scenario.

abs(C - 24) = 5

abs(24-C) = 5

500

Consider the literal equation below. Solve for W.

3x - 2W = 4(2 + 3W)

W = (3x - 8)/14

W = 3/14x - 4/7

Misc.

100

How do you clear fractions from an equation?

Multiply both sides by the Least Common Denominator (LCD).

200

What is the Least Common Multiple of 3 and 8?

24

300

Simplify:

18 - 2 (3 + 5)^2divide8 + 4

6

400

Solve for x.

3(3x + 2) - 4x = 5(x + 3) - 2

no solution

500

Solve for x.

4(2x - 3) + 2x = 5(2x - 2) - 2

infinitely many solutions