Algebra 1 Chapter 4

Solving Equations

Decimal and Literal Equations

Word Problem (in order)

Cumulative Review

Solving Absolute Equations

100

Solve and check:

7x - 4x + 21 = 15

x=-2

100

Which of the following equations has no solution?

A.-6x+5=0

B. 4x-9=4x+12

c.-8x+1=-8x+1

D.3x-5=7x

100

Joey is picking apples at a rate of 20 apples per hour

3 hours later, his sister, Kat, joins, and she picks at a

rate of 25 apples per hour.

1. Let x be the number of hours since Joey started

picking apples. In terms of x, how many hours has

Kat been picking apples?

a. x

b. x+3

c. x - 3

d. 3x

100

What is the difference between

-6² and (-6)²

The difference is that

-6²=-36, while (-6)²=36.

100

Solve:

|x|=9

x=-9 or x=9

200

Solve and check:

7(2-k)= 3(k+8)

k=-1

200

Solve and Check

5.3-4.8x=1.3x-52.7

x=9.5

200

Joey is picking apples at a rate of 20 apples per hour.

3 hours later, his sister, Kat, joins, and she picks at a

rate of 25 apples per hour.

2. Write an expression for the number of apples Joey

has picked.

a. 20x

b. 25x

c. 20x -3

d. 20(x-3)

200

Simplify using order of operations:

30÷3(5)

----------------

-6-(-1)

-2

200

Solve

|3x-10|=11

x=7 or x=-1/3

300

Solve and Check:

4(c+3)-(c-1)=64

c=17

300

Solve For Y

10x-5y=20

y=2x-4

300

Joey is picking apples at a rate of 20 apples per

hour. 3 hours later, his sister, Kat, joins, and she

picks at a rate of 25 apples per hour.

3. Write an expression for the number of apples

Kat has picked.

a. 25x - 3

b. 25(x-3)

c. 25x

d. 20(x-3)

300

Evaluate the expression if y = -4:

10y- y²

300

Solve

|7x-15|=30

x=45/7 or x=-15/7

400

Solve and Check:

20-3p=4(-p+3)

p=-8

400

Solve and Check:

5.9-1.7y=3(4.1-y)

y=4.92

400

Joey is picking apples at a rate of 20 apples per hour. 3 hours later, his sister, Kat, joins, and she picks at a rate of 25 apples per hour.

4. Write an equation that Joey and Kat have picked the same number of apples. How long has Joey been picking when they have picked the same number of apples?

20x=25(x-3)

400

Solve the equation:

10-x=30

x=-20

400

Solve:

7-|3x|=-29

x=12 or x=-12

500

Which of the following equations

has all solutions/identity?

a. -6x+5=0

b.4x -9 =4x + 12

C.-8x+1 =- 8x+1

d. 3x -5 = 7x

500

Solve for X:

2jkx=6j

x=3/k

500

Factor out the common factor (GCF):

80x³ + 30x²y

10x²(8x+3y)