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