Algebra Review

x = -5

85 = -17x

15x - 7x

8x

Simplify 6x - 7 + 2x + 7

8x

4 + 4(2x - 1) + 9

8x + 9

add 40 to each side

93 = c - 40

Simplify 3x + 6x

9x

Simplify the expression. 9x + 1

9x + 1

Coefficient

A number that is before (in front of) a variable. It tells you how many of that variable there are.

Operation

A symbol that tells you what math operation to perform (add, subtract, multiply, or divide).

y ≥ 48

Write the inequality for the statement: You (y) must be at least 48 inches tall to ride the roller coaster.

b ≥ 25

Write the inequality for the statement: Your boss (b) must pay you no less than 25 dollars per hour.

subtract 8 from both sides

a + 8 = 16

x/3 = 4

x = 12

x/6 = 5

x = 30

5 + x = 40

x = 35

x - 15 = 20

x =35

x ≥ 12

x is greater than or equal to 12

4 + x = 8

x= 4

6 = -3x

x=-2

8 = x/2

x=16

x/7 = 6

x=42

10 - 5(9x - 9)

- 45x + 55

9( -13 - 19x)

-171x -117

Simplify the expression. 8 -2x + 5

-2x + 13

-5(8x + 9)

-40x -45

x = 21

-7 = x - 28

-1 - 3(x +1) + 10x

-7x - 4

-17(5x + 2)

-85x -34

Simplify the expression. 4y + 18 - 13y

-9y + 18

Simplify the expression. 7x - 8x

-x

Simplify the expression. -12x + 12x

0

Simplify the expression. -12x -9 + 12x + 9

0

Simplify the expression. 6x - 6x

0

51/14

1 1/2 + 2 1/7

71/30

1 1/5 + 1 1/6

67/14

1 2/7 + 3 1/2

3/4

1/4 + 1/2=

2/3

1/6 + 3/6

13/18

1/6 + 5/9=

x ≥ 40

10 ≤ x ÷ 4

4x + 6x

10x

Simplify 4x + 5x + x

10x

30 + 5(2x - 1) + 20

10x + 45

-13

10x + 7 = -123

x − 10 + 9x − 3

10x - 13

11 + 10x- 16

10x - 5

x = -36

11 + x = -25

17

11x + 10 = 197

3x + 8x + 9

11x + 9

x > 3

11x > 33

3 + 8x + 9 + 5x

12 + 13x

x = -62

12 + x = -50

x = 13

12 + x = 25

x = 38

12 + x = 50

x = 48

12 = x/4

x=18

12+x=30

11( -19 + 10x) + 15x

125x -209

3 • x • 4

12x

Simplify the expression. -9 + 12x + 9

12x

Simplify 8x + 3 + 4x

12x + 3

5x + 7x + 4

12x + 4

8x + 5 + 4x

12x + 5

Simplify the expression. 12x + 9

12x + 9

Simplify 5x - 6 - 8 + 7x

12x - 14

-36

12x - 18 = 13x + 18

3x - 7 + 9x

12x - 7

10 + 5x + 6 + 8x

13x + 16

10x + 11 + 3x + 8

13x + 19

-5

14x - 8 = 22 + 20x

x > 2

14x > 28

x = 17

15 = x - 2

35/48

15/16 - 5/24 =

12x + 5 + 3x − 5

15x

17x + 6x - 8x

15x

16 < x

16 is less than x

20 + 8(2x - 1) + 18

16x + 30

Simplify the expression. 8y + 8y

16y

11 + 7x + 6 + 4x

17 + 11x

x = -136

17 = x/-8

3/20

17/20 - 7/10=

Simplify 12x - 8 + 4x + x

17x - 8

x = 1

18x = 18

x < 9

2+x<11

7x - 13( -18x + 11)

241x -143

2(x + 4x) + 4(4x + 5)

26x + 20

6

2x + 48 = 10x

-30 - (x + 1) + 3x

2x - 31

Simplify 7x - 5x - 6

2x - 6

-4x + 6x - 3 - 5

2x -8

x = -4

2x = -8

x ≤ 1

2x ≤ 2

x ≥ 13

2x ≥ 26

x < 3

2x-1<5

3x+7-x-10

2x-3

x(2-y)

2x-xy

x > 6

2x<12

2x²+3x³

2x²+3x³

2(x³)²

2x⁶

subtract 7 from each side

3 = x + 7

-8

3(13 - 4x) = 7 - 16x

15/16

3/4 + 3/16=

x= 4

4 + x = 8

35/18

4 1/2 + 2 5/9

x < 6

4 > x - 2

x + 4 + 3x

4x + 4

5x-(x+1)

4x-1

x = 35

5 + x = 40

85/12

5 1/3 + 1 3/4

5x + 4 - 2x + 3 + 2x

5x + 7

5(x - 4)

5x - 20

-2

5x - 26 = 18x

-12

5x - 8 = -68

4x+2+x-1

5x+1

x > 4

5x-4>16

x(2-y)+3x

5x-xy

7x-5y+4y-x-x

5x-y

x < 1

5x<5

5y - 7x + 28

5y + (x - 4)(-7)

6 + 7x + 3x

6 + 10x

65/14

6 1/2 - 1 6/7

20

63 - x = 2x + 3

subtract 3 from each side

63 = b + 3

9x + 10(6x − 1)

69x - 10

Last week, Henry bought lunch 2 days. This week, he bought lunch 4 days. Let x represent the cost of buying lunch. Write an expression to find the total cost that Henry has spent on buying lunch.

6x

1 + 3(2x + 3) + 1

6x + 11

3(2x + 5) + 8

6x + 23

17x - 2 - 9x + 7 - 2x

6x + 5

8(x - 3) - 2x

6x - 24

x = 37

6x = 222

x ≤ 6

6x ≤ 36

≤ or ≥

Circle IS colored in.

< or >

Circle is not colored in.

Term

Parts of an expression separated by operators.

NO

Tell whether the value is a solution to the inequality: 6 > x ÷ 3 ; x = 18

YES

Tell whether the value is a solution to the inequality: 8x ≤ 10 ; x = 1 ¼

x<-5

What is the inequality for the graph?

x>5

What is the inequality for the graph?

x≤2

What is the inequality for the graph?

w ≥ 6

Write the inequality for the phrase: w is no less than 6

w ≤ 6

Write the inequality for the phrase: w is no more than 6

y ≥ 6

Write the inequality for the phrase: y is at least 6

y ≤ 6

Write the inequality for the phrase: y is at most 6

y < 6

Write the inequality for the phrase: y is less than 6

y > 6

Write the inequality for the phrase: y is more than 6

b ≤ 25

Write the inequality for the statement: A box (b) can hold no more than 25 pounds.

b ≤ 24

Write the inequality for the statement: A lifeboat (b) can carry up to 24 people.

b ≥ 24

Write the inequality for the statement: Brad (b) must be at least 24 inches tall to ride.

p ≤ 95

Write the inequality for the statement: The phone (p) costs at most $95

y ≤ 48

Write the inequality for the statement: You (y) must be 48 years of age or younger in order to receive a discount.

x = 32

x + 8 = 40

11

x + 81 = 9x -7

x = -6

x - (-17) = 11

add 10 to each side

x - 10 = 40

x = -11

x - 11 = -22

x = 33

x - 11 = 22

x = -1

x - 12 = -13

x = 19

x - 14 = 5

x =35

x - 15 = 20

x = 8

x - 16 = -8

x = 24

x - 16 = 8

x = 6

x - 17 = -11

x = 53

x - 18 = 35

x = 18

x - 6 = 12

x ≤ 20

x - 7 ≤ 13

x =22

x - 9 = 13

-8 - 12x + 2 + 13x

x -6

x - 3 = -5

x = -2

2x = 26

x = 13

7 + x = 21

x = 14

x - 6 = 12

x = 18

2x = 8

x = 4

45 = 5 + x

x = 40

x + 3 = 10

x = 7

-4

x = 8x + 28

x ≥ 15

x is at least 15

x ≥ 5

x is at least 5

x ≤ 15

x is at most 15

x ≤ 18

x is at most 18

x ≤ 5

x is at most 5

x < 14

x is less than 14

x < 15

x is less than 15

x ≤ 10

x is less than or equal to 10

x ≤ 13

x is not more than 13

x > 1

x+1>2

x+2

x+2

x ≤ 8

x+2≤10

x=7

x+3=10

x=14

x+7=21

x ≤ 11

x- 8 ≤ 3

x ≤- 18

x/-9≥2

x = 100

x/25 = 4

x = 12

x/3 = 4

x ≥ 3

x/3≥1

x=30

x/6=5

4(7 + x)

28 + 4x

16(18x + 11) + 10

288x +186

7(4x)

28x

8x + 3(7x - 2)

29x - 6

1/2

3/5 - 1/10=

5/8

3/8 + 1/4=

x = 15

30 - x = 15

-5 + x = 15

x = -20

-3x = 9

x = -3

subtract 10 from each side

32 = y + 10

x = 50

34 = -16 + x

add 15 to each side

34 = d - 15

x = -31

36 + x = 5

3(x + 1) - 3

3x

x + x + x

3x

4x - 8 + 10 - x

3x + 2

20 - 0(x + 1) + 3x

3x + 20

3(x + 3)

3x + 9

9

3x +46 = 1 + 8x

x ≤ 30

3x - 15 ≤ 15

(x -8)3

3x - 24

-14

3x - 6 = -48

x = 0

3x = 0

10/3

3x = 10

x = 3

3x = 9

4x+2-x

3x+2

4(x+1)-x

3x+4

x < 2

3x<6

x = -20

-5 + x = 15

add 7 to each side

-5 = g - 7

x = 2

-5 = x - 7

-24x + 25

-5(5x - 5) + x

-16

-5(x + 1) = 75

x < -5

-5x + 11 > 36

-11

-5x - 4 = 51

x = -21

7 = x + 28

0

7x + 2 = 2

(-2x²)³

-8x⁶

4b-(5b-2)

-b+2

Simplify 5x - 7x + x

-x

Simplify x - 5 - 2x + 5

-x

4x-(5x-2)

-x+2

3x²-5x-(4x²-6x)

-x²+x

x(2-x)+8(3-x)

-x²-6x+24

4x + 5(x + 1) + 8x

17x + 5

1 + 9(2x + 1) + 1

18x + 11

-6( -16 - 3x) + 11

18x +107

7/6

2/3 + 1/2

5/6

2/3 + 1/6=

20/21

2/7 + 2/3=

5/7

2/7 + 3/7

subtract 5 from each side

20 = x + 5

11x + 4(x + 1) + 5x

20x + 4

-(5 + 8x) - 5(-6x + 3)

22x - 20

x = 49

24 = x - 25

6(4x + 8)

24x + 48

x > 20

25 < x + 5

-3x(x+2)

-3x²-6x

10 − 5(9x − 9)

-45x + 55

x = -27

-46 = x + (-19)

13/10

4/5 + 1/2

1/20

4/5 - 3/4=

-8( -6 - 5x)

40x +48

-2 - 6( -9 - 7x)

42x +52

x=40

45 = x+5

x = 27

46 = x + 19

4(x +3)

4x + 12

2(4x + 7) - 4x

4x + 14

(x + 5)4

4x + 20

subtract 2 from both sides

b + 2 = 10

subtract 14 from both sides

c + 14 = 25

add 8 to each side

k - 8 = 20

subtract 56 from both sides

n + 56 = 60

n < 20

n-5<15

add 5 to each side

w - 5 = 10

Simplify 9x - 8x

x

Simplify the expression. -7x + 8x

x

x = 52

x + (-12) = 40

x = -24

x + 11 = -13

x = -25

x + 12 = -13

x > 9

x + 4 > 13

1 - 2(x + 3) + 11

- 2x + 6

13

-10x + 4 = -126

19

-10x - 10 = -200

-10

-10x - 7 = 93

Simplify the expression. 3h + 12 -14h + 4

-11h + 16

Simplify -5x - 7x + x

-11x

5 - 8x + 6 - 4x

-12x +11

-17

-12x - 1= 203

-5x + 11 - 7x - 18

-12x -7

x = -13

-15 = x - 2

x = -50

-150 = 3x

Simplify the expression. -13c + 2 + 8 -2c

-15c + 10

Simplify the expression. -1 -9x - 7x - 23

-16x - 24

x + 6(-3x - 2)

-17x - 12

Simplify the expression. -10x + 4 + 9x -11

-1x -7

10x - 14

-2(x + 7) + 12x

−4 + 7(1 − 3x)

-21x + 3

3m-5m

-2m

3x-5x

-2x

1 - 2(x + 4) + 9

-2x + 2

Simplify 7x - 1 - 9x + 5

-2x + 4

x > -6

-2x+15<27

-9

-3(5x + 8) = 23 - 8x

−9(6x − 3) + 6(1 + 4x)

-30x + 33

21

-30x = -27x - 63

1 - 3(x + 1) + 2

-3x

1 - 3(x + 5) + 22

-3x + 8

Simplify the expression. -8x + 4 + 5x - 11

-3x - 7

13x - 16x - 15 - 11

-3x -26

x = -34

-3x = 102

x = -3

-3x = 9

x= -3

-3x=9

x = 56

-4 + x = 52

-15

-4x - 8 = 52

14

-4x - 9 = -65

-6

-7x + 1= 43

5(−2x + 4) + 2(x + 3)

-8x + 26

add 12 to each side

-9 = t - 12

15

-9x - 4 = -139

-(x+3)

-x-3

x ≥ 8

12x≥96

8x + 5 + 7x + 5x

20x + 5

9x + 5x + 7x

21x

11x + 3(x + 1) + 7x

21x + 3

1 + 11(2x + 1) + 1

22x + 13

3b+7-b-10

2b-3

n < 4

2n+6<14

20 - 5(x + 1) + 7x

2x + 15

x + 5 + x - 2

2x + 3

Sheila is x years old. Her sister is 4 years older than Sheila. Write an expression to find the sum of their ages.

2x + 4

x > 8

2x + 4 > 20

1

2x + 5 = 7

16x - 13 + 17 - 14x

2x +4

-10 - 2(x + 1) + 4x

2x - 12

4/3

3/4 + 7/12=

1/4

3/4 - 1/2

1/12

3/4 - 2/3=

17/20

3/5 + 1/4

4/15

3/5 - 1/3

x = 31

36 + x = 67

9 • (4 • x)

36x

-1

3x + 2 = -1

10 -2(x + 1) + 5x

3x + 8

Simplify -x - 3x + 8x + 4

4x + 4

16

4x + 4 = 2(x + 18)

12

4x - 4 = 44

x < 5

4x < 20

x = 10

4x = 40

4(x+1)

4x+4

add 20 to each side

5 = b - 20

x = -2

5 = x - (-7)

10x - 1

5(2x - 3) + 14

1/6

5/12 - 1/4

19/18

5/6 + 2/9=

29/24

5/6 + 3/8

5/24

5/6 - 3/8=

x = 43

52 = x + 9

b(2-a)+3b

5b-ab

n > 3

5n-4>11

8x - 3x

5x

4(x+5) + x

5x + 20

9 - 6 + 7x - 2x + 3

5x + 6

-4x - 16 + 9x - 4

5x - 20

Simplify the expression. 2a + 4a -5 -6

6a - 11

x(6+2y)

6x+2xy

Simplify 8x + 6 - 8x + 1

7

11/24

7/8 - 5/12=

x = 9

72 = 8x

x(3+4)

7x

4(1 + 3x) - 5x

7x + 4

5

7x - 2 = 33

-3 - (x + 2) + 8x

7x - 5

x = -7

7x = -49

3

7x = 33 - 4x

x = 7

7x = 49

7x-5y

7x-5y

3x + 14

8 + 3(x + 2)

x=16

8 = x/2

Find the perimeter of a triangle with side lengths of 2x, 2x + 3, and 4x - 2. Write your answer in simplest form

8x + 1

-20

8x - 7 = -167

−2x − (9 − 10x)

8x - 9

7

8x = 3x + 35

x ≤ 4

8x ≤ 32

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

8x+23

6(2+x)+2(x-4)

8x+4

x =-22

9 + x = -13

7/22

9/11 - 1/2

2

9x - 10 = 8

5(x + 4x) - 20

9x - 20

-3

9x -1 = x - 25

Variable

A letter used to represent one or more numbers

Constant

A number by itself that doesn't have a variable.

Distributive Property

Lets you multiply a sum by multiplying each addend separately and then add the products.

x < -3

What is the inequality for the graph?

x > -3

What is the inequality for the graph?

x ≥ -3

What is the inequality for the graph?

x ≥ 2

What is the inequality for the graph?

p ≥ 95

Write the inequality for the statement: People (p) must send at least 95 texts per week in order to purchase this texting plan.

5x - 24

x + 4(x - 6)

x = 5

x + 5 = 10

x = 14

x + 5 = 19

x ≥ 7

x + 7 ≥ 14

x = -48

x + 8 = -40

x ≤ 26

x - 22 ≤ 4

add 23 to each side

x - 23 = 45

x ≤ 45

x - 25 ≤ 20

x ≥ 49

x - 25 ≥ 24

7x - 14 + 9 - 6x

x - 5

x > 15

x is greater than 15

x > 5

x is greater than 5

x > 7

x is greater than 7

x ≥ 14

x is greater than or equal to 14

x < 8

x ÷ 2 < 4

x ≥ 18

x ÷ 2 ≥ 9

x ≥ 24

x ÷ 3 ≥ 8

x= 42

x/7 = 6

x = 40

x/8 = 5

x = -9

x/9 = -1