Font size
WorksheetsMath Lab 7 Unit 4-
Total questions: 501
Worksheet time: 33hrs 15mins
There are 36 quarters in my coin collection. If my coin collection has 45% quarters, how many total coins do I have?
75%
80 %
75 coins
80 coins
Adrien and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven?
68%
30%
70%
43%
The 6th graders at Oberlin Middle School are going to Stars and Strikes. 60% of the 120 students want to go bowling first. How many students want to go bowling first?
72 students
27 students
54 students
69 students
ARE YOU WRITING DOWN THE INFORMATION IN A PERCENT PROPORTION ON NOTEBOOK PAPER? BE HONEST.
YES
NO
A factory made 125 packs of gum. 32% of the packs contained mint-flavored gum. How many packs of mint gum did the factory make?
85 packs
32 packs
40 packs
40%
There are 42 teachers that work in a school. On Friday, 29 teachers were present. What percent of the teachers showed up for work?
50%
69%
55%
80%
Ian's town voted on a new speed limit. Of the votes received, 310 were in favor of the new speed limit and 190 were opposed. What percentage of the votes were in favor of the new speed limit?
*HINT* You have to find the total number of votes first!!
62%
38%
61%
310 people
15 of the students in a history class passed a History test. If these students are 75% of all the students in the class, how many students are in the history class? Round you answer to the nearest whole number if necessary.
20 students
11 students
32 students
24 students
Sara decided to look at new and used vans. Sara found a used van for $30,000. A new van is $50,000, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
20%
40%
60%
80%
Beeny went to his local zoo where 55% of it's exhibits featured reptiles. If the zoo features 20 exhibits in total, how many of the zoo's exhibits feature reptiles? Round your answer to the nearest whole number if necessary.
20 exhibits
11 exhibits
32 exhibits
24 exhibits
At a construction job for a store, 24 painters were tasked with painting the interior. These painters made up 75% of the painting crew, so how many painters in all worked on this job? Round your answer to the nearest whole number if necessary.
20 painters
32 painters
11 painters
24 painters
At a local department store, dresses have been reduced to $20/ This is at 80% of the original price for dresses. Given this, what was the original price of the dresses? Round your answer to the nearest whole number if necessary.
$10
$15
$20
$25
In one particular suburb, there are 18 families that own a bulldog. If these owners make up 75% of all dog owners in this suburb, then how many dog owners are there in this neighborhood? Round your answer to the nearest whole number if necessary.
20 owners
24 owners
11 owners
32 owners
For one English test, Mary had to answer 25 questions. Of these 25 questions, Mary answered 5 of them correctly. What percent did Mary get on her English test? Round your answer to the nearest whole number if necessary.
20%
40%
60%
80%
One baseball team played 15 games throughout their entire season. If this baseball team won 3 games, then what percentage of their games did they win? Round your answer to the nearest whole number if necessary.
20%
40%
60%
80%
Sara received a $40,000 salary for working as an executive. If Sara spends 90% of her salary on expenses each year, then how much money does Sara spend on expenses? Round your answer to the nearest whole number if necessary.
$30,000
$32,000
$34,000
$36,000
While mining, Jason found a large metal bar that weighed 40 ponds. Jason was also able to determine that the bar contained 30% gold. How many pounds of gold are in the metal bar? Round your answer to the nearest whole number if necessary.
10 pounds
11 pounds
12 pounds
13 pounds
-9 + 23
-24(4)
-63/-3
-8 - (-15)
x - 10 = -2
-5x = 45
x + 9 = -2
n/-2 = -17
Perry bought 5 nectarines for $4. How many nectarines can Amanda buy if she has $16?
The currency in China is the Yuan. If $1 is equal to 8 Yuan, how many Yuan would you get for $2?
Write the equation (y=kx) that represents the following situation.
Jessica can type 135 words in 9 minutes.
Which equation represents the given graph?
73% as a decimal is ...
0.073
7.3
0.73
73.00
0.061 as a percent is ...
6.1%
61%
0.61%
610%
2/5 is what percent?
40%
25%
52%
2.5%
45/50 is what percent?
45%
95%
9%
90%
What is 35% of 78?
27.3
2.23%
43%
30%
65 is what percent of 90?
65%
25%
72%
138%
Last week it rained for 4 days. What percent of the week did it rain?
80%
57%
40%
43%
Bill bought a suit that was on sale for 25% off. If the original price of the suit was $199, how much was the sale price?
$265.33
49.75
$174.00
$149.25
Johan's bill for food was $32.64. He left a tip of 16%. How much did he leave for a tip?
$7.73
$16.00
$5.22
$37.86
Discount is taken off before tax is added.
True
False
Carrie's car is valued at $11,250. If the property tax rate is 1.5%, how much tax does she owe?
$1687.50
$168.75
$16.88
$1.69
Ervin earned $55 from cutting grass. He spent $22.50 at Carowinds. What percent of his money did he have left?
40.9%
22.5%
45%
59.1%
To change a decimal to a percent, divide by 100.
True
False
Percents never have decimals in them.
True
False
Harris ran a total of 15 miles last week. She ran 4.2 of those miles on Monday. What percent of her total distance did she run on Monday?
28%
42%
72%
58%
Percents can never be over 100.
True
False
Select all that are equivalent to 20%.
20
0.2
51
2.0
Maggie estimated the number of beans in the bag at 2,100. The actual number of beans was 2400. What was the percent error of Maggie's estimate? (round to the nearest whole percent).
142 % error
15% error
12.5% error
145 percent error
Change 82% to a decimal.
82
8.2
.82
.082
Change .16 to a percent.
16%
1.6%
160%
0.16%
Change 32% to a decimal.
32
.32
3.2
.032
What is a Tip ?
Additional money given for a service
money your server gives you
a frog
money you keep
Dinner is $23.77 and you leave a 10% tip. Find the total cost.
$ 2.38
$ 2.37
$ 26.15
$ 21.39
what is a discount price?
The price of an item after a discount is applied
The price the wholesaler pays for the item
The price of an item after the mark up is added
Discount is ____________ from the price.
added
divided
subtracted
Mr. Ed is very old
The original price of a pair of shoes is $29.99 and their is a mark down of 10% because the shop is having a black friday sale. What is the sale amount of the pair of shoes?
$2.99
$32.99
$27
73% as a decimal is ...
0.073
7.3
0.73
73.00
What is 35% of 78?
27.3
2.23%
43%
30%
Bill bought a suit that was on sale for 25% off. If the original price of the suit was $199, how much was the sale price?
$265.33
49.75
$174.00
$149.25
Johan's bill for food was $32.64. He left a tip of 16%. How much did he leave for a tip?
$7.73
$16.00
$5.22
$37.86
Carrie's car is valued at $11,250. If the property tax rate is 1.5%, how much tax does she owe?
$1687.50
$168.75
$16.88
$1.69
$28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?A sweatshirt was on sale for 25% off the marked price. The sweatshirt regularly costs $55.00. What is the sale price of the sweatshirt?
$13.75
$41.25
$68.75
$137.50
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?
$50.95
$56.96
$18.99
$75.70
Which is an example of an increase word?
Coupon
Sale
Mark down
Sales tax
At Old Navy everything is 25% off. What percentage will you pay?
100%
75%
125%
80%
You want to leave a 20% tip for your waitress. What is the total percentage you will pay?
100%
80%
120%
20%
You order pizza and want to give the driver a 10% tip. The original bill was $48.00. What is the total you will be paying?
$10.00
$58.00
$4.80
$52.80
You have a promo code for 20% off your total purchase on Amazon. Your original total was $32.00. How much will you pay after the discount?
$25.60
$6.40
$38.40
$12.00
How well do you feel you understand percent change?
I did not understand the slideshow and need help before doing my homework
I kinda understand and think I can try my homework
I think I will be able to do my homework on my own but need more help before a quiz
This is easy, I could take the quiz tomorrow and pass!
Original amount: 10
New amount: 12
From $5 to $8
From $80 to $64
From 90 points to 45 points

20 dogs to 5 dogs
The original cost was $50 and the new cost is $60.
Greg wants to lose 10% of his body weight. If he weighs 320 pounds what is Greg's goal weight?
288 pounds
352 pounds
310 pounds
32 pounds
Find the percent change from 28 to 42.
50% decrease
50% increase
33% decrease
33% increase
Elasti-girl was able to stretch her wingspan 250% wider than her original wingspan, which was 5 feet. How wide was she able to stretch?
12.5 feet
17.5 feet
15 feet
25 feet
Snowfall for December was 4 inches, but in January it was 20 inches. This is a ____% increase from December to January.
20%
500%
400%
300%
The play attendance decreased from 250 students to 195 students. What was the percent decrease?
55%
22%
28.2%
32%
Microwave: Originally $96 then price increases to $115.20
What is the markup rate on a $470 ring that is now $634.50?
The original price of a purse was $45, but it was changed to $54. Calculate the percent change.
9%
20%
45%
54%
37.5%
38%
63%
62.5%
In your own words, tell me the method you use to answer the following problem:
"In 1985, Air Jordans cost $65. Today, the average cost of Air Jordans is $218. By what percent did the price of shoes increase from 1985 to today?"
From $5 to $8
You guessed that the Chicago Cubs would win 95 games during the regular season. They actually won 103. What was your percent error? Round to the nearest tenth if necessary.
7.8%
7.4%
0.77%
0.78%
Heather performs an experiment to measure the acceleration of an object due to Earth’s gravitational force and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second. Approximately what is Heather’s percent error?
0.11%
1.11%
11.33%
10.17%
Find the percent error. Round to the nearest tenth of a percent.
Actual speed: 38 mph
Estimated speed: 35 mph
8.1%
0.79%
7.9%
6.8%
Zac wants to have a flower bed in his backyard. He measures the area of the flower bed to be 10 square feet. The actual measurement of the flower bed is 10.6 square feet. Approximately what is Zac’s percent error?
0.6%
10%
5.7%
6%
Mr. Bynum asked students to guess how many jelly beans he had in a mason jar. Cassandra guessed 148. The actual number of jelly beans in Mr. Bynum's mason jar was 162. What is the approximate percent error of Cassandra's guess?
91.4%
86.4%
9.5%
8.6%
Heather performs an experiment to measure the acceleration of an object due to Earth’s gravitational force and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second. Approximately what is Heather’s percent error?
0.11%
1.11%
11.33%
10.17%
Arlo performs an experiment for his physical science class and finds that the gravitational acceleration due to the Earth is 9.0 meters per second squared. The actual value is 9.8 meters per second squared. What is the percent error in Arlo’s measurement, to the nearest tenth?
-8.2%
-8.9%
-9.0%
-9.4%
A student’s calculation was found to have a 35.5% error, and his experimental measurement was 15.6 cm. What are the possible values for the actual measurement?
5.538 cm
21.138 cm
10.062 cm
51.1 cm
-3x2 - 5x + 7 when x = -2
-x - 6x + 10 when x = 5
25x(x - 4) when x = -1
x2 + 5 - x when x = 5
t2 - t + 1 when t = 5
h = 4.9
4h + 2g + 4
4h + 2g + 4
for y = 4 and z = 2
Evaluate the expression 5z - 20 ÷ 2 + z. For z = 8
2
18
20
38
Evaluate the expression 2p - (p + 3) ÷ 3. For p = 6
1
3
5
9
Evaluate the expression 16 + 36 ÷ b. For b = 4
56
25
24
13
Evaluate the expression 6 + 8f. For f = 4
8
18
38
56
Evaluate the expression 8 + 2g - g ÷ 2. g = 4
22
14
5
10
Evaluate the expression 3d + (5 - d); d = 4
11
16
14
13
Evaluate the expression x2 - x; x = 6
30
6
42
12
Evaluate the expression (h - 6) + h ÷ 6; h = 6
6
1
12
2
Evaluate the expression 14 + x ÷ 2; x = 4
16
9
12
18
Evaluate the expression when x=−8; y=−9
-59
-5
5
59
Evaluate the expression when x=−2; y=6
-4
-8
4
8
Evaluate the expression when x=−5
-17
-13
13
-4
for y = 4 and z = 2
2(a - 5) + 2
Evaluate the expression for a = 3, b = 4, c = 6
bc + 5a
99
39
63
87
Evaluate the Expression
8x + 3 when x=2
19
85
13
-12
Evaluate the Expression
x2+5 when x=4
13
21
47
-5
4h + 2g + 4
y = 6
v = 4
u = 7
q = 5
if a = 10 and b = 6
2(a - 5) + 2
If x = 3 solve x + 4 =
5
6
7
8
when b = 3
Evaluate -2x + -3y if x = 10 and y = -6
18
-38
12
-2
I can substitute and evaluate expressions using the order of operations.
Evaluate the expression z+y4x+3z for x=4, y=2, and z=3
3
4
5
6
I can substitute and evaluate expressions using the order of operations.
Evaluate the expression x−z3x−2y for x=6, y=3, and z=2
1
2
3
4
I can substitute and evaluate expressions using the order of operations.
Evaluate the expression x−y4x−3y for x=8, y=4, and z=3
1
2
5
4
What can be included in an algebraic expression? Select all that apply.
Numbers
Operations
Variables
Pizzas
Inequality Sign
The steps to evaluate an algebraic expression are:
1) (a)
2) (b)
Evaluate x-12 when x = 18.6.
1. Substitute 18.6 for x (a) -12.
2. Subtract (b)
3. When x = 18.6, x - 12 = (c)
Match the steps to solving 6s+2d when s= 5/12 and d =15
6 (125)+215
Substitute
25+215
Multiply
220
Add
10
Divide
Put the steps to evaluating the expression in the correct order.
Evaluate 4x2y when x=3 and y=0.5
substitute the values
4(3)2(0.5)
Exponents
4(9)(0.5)
Multiply
36(0.5)
Multiply
18
16x+y
∣5x−y∣−y2x2
3(5−2)+225
625+4−82
Evaluate: 10 - (3h + 2) for h = 3
Evaluate: 12 + 7(-2h - 3) for h = -3
Let x = 2 and y = 3. Evaluate 3x - 4y.
6
-6
2
-2
Lasagna
Evaluate 3a2 - ab when a = -1 and b = 3.
12
-5
6
0
The length of a rectangle is represented by (5x - 3) and the width is (x + 3). If x = 2, then which of the following values is the actual perimeter of this rectangle?
18
14
24
popcorn
Evaluate the algebraic expression 2a2+c−∣b−2a∣ when a=5, b=7, c=14
7.7
11
5
fruit pie
5(a + 6)
5a + 6
a + 30
5a + 30
5a - 30
6 (x + y + 7)
6x + 6y + 42
12xy + 42
6x + 6y + 7
6x6y + 42
What do the parentheses tell you to do?
Add
Subtract
Multiply
Divide
Simplify the expression by using the Distributive Property:
3(2c - 5)
6c - 15
6c + 15
6c + 15
-6c - 15
Simplify the expression by using the Distributive Property:
-4(k - 7)
-4k + 28
-4k - 28
4k + 28
4k - 28
Simplify the expression by using the Distributive Property:
9(5c + 4)?
45c + 36
81c
45c + 4
49c
Simplify the expression by using the Distributive Property:
8(4b - 5)
32b + 40
32b - 40
32(b - 40)
84b - 85
Simplify the expression by using the Distributive Property:
8(4b - 5)
32b + 40
32b - 40
32(b - 40)
84b - 85
Simplify the expression by using the Distributive Property:
2(3v - 8)
6v-16
6v-8
6v-6
6v+8
Simplify the expression by using the Distributive Property:
-2(3m + 9)
-6m + 7
-6m - 7
-6m + 18
-6m - 18
Simplify the expression by using the Distributive Property:
9(x - 5)
9x + -45
9x + 5
9x + 14
9x + 45
Simplify the expression by using the Distributive Property:
-8(6x + 3)
48X+3
-48X-3
14x+3
-48x + -24
Simplify the expression by using the Distributive Property:
8(2x + 7)
16x + 7
16x + 56
16x + 15
8x + 7
What is the simplified version of this expression? −4(8r+3)
−32r−12
32r−12
−32r+12
32r+12
What is the simplified version of this expression? 7(5x−1)
35x+7
35x−1
35x−7
−35x−7
What is the simplified version of this expression? 5(a+6)
5a+6
a+30
5a+30
5a−30
5(a + 6)
5a + 6
a + 30
5a + 30
5a - 30
11(9 + d)
8(5 + w)
3(2h + 3c + 2)
A number on its own that does not change and is without a variable is known as a _______________.
Term
Variable
Coefficient
Constant
10 is the ______ in the expression 10 + 2y
constant
coefficient
variable
like term
Identify the constants in the expression:
7-5x+1
7
1
7 & 1
5
4 is the __________ of 4n.
equation
variable
coefficient
solution
Identify the coefficients in this expression. 3x + 5x = 4
3x, 5x
4, 3x, 5x
3, 5
x
True or False: 4x and x are like terms.
True
False
What are the like terms in the following expression?
5x + 8 + 2x
5x, -2x
5x, 2x
5x, 8
8, -2x
3x+4-2
3x + 2y + z
5b + 3 - 4k + 6
Determine the variable in the expression.
72+x−57
2
x
5
Determine the constant in the expression.
2x−57
2
x
5
Coefficients show what type of operative relationship?
HINT: 7y tells you to do what?
add
subtract
multiply
divide
Determine the number of terms in the expression.
7x+53−11
2
3
4
3x + 2y + 7
4m + n + 2
3x + 2y + z
3x + 9
3a + 2b + c + 100
4y + 2 + x
m + 3n + p + 3
9m + 3n + 4
5x³ - 7x + 11
5x³ - 7x + 11
5x³ - 7x + 11
4y-5
7x-6+8
9m + 3n + 4
7x+8-2x
x - 7
Which of the following is not a factor of 18 and 42?
6
2
3
7
Which of the following is not a correct factorization of the binomial of 12x + 30?
2(6x + 15)
3(4x + 10)
12(x + 18)
6(2x + 5)
Factor the following expression: 6x + 30
(a)
Factor the following expression: 14n + 49
(a)
Factor the following expression: 16y - 8
(a)
Factor the following expression: 8x + 24
(a)
Factor the following expression: 10w - 5
(a)
Factor the following expression: 2n + 16
(a)
Factor the following expression: 6y + 21
(a)
Factor the following expression: 44x + 55
(a)
Factor the following expression: 28e - 7
(a)
Factor the following expression: 6x + 42y
(a)
Factor the following expression: 18m - 45n
(a)
Factor the following expression: 20c - 8d
(a)
The area of a rectangle is given by the expression 10n+35 , in square feet. Its width is 5 feet as shown. Its length is an unknown expression in terms of the variable n.
Write the area of the rectangle as the product of 5 and another binomial.
(a)
Write in factored form.
3x + 12
3(x+12)
3x(1+4)
3(x+4)
3(x-4)
Factor.
5 + 15x
5(5+3x)
3(5x+1)
5(1+3x)
3(1+5x)
What is the GCF of 12x - 18?
the terms have no factors in common
3
6
9
Write in factored form.
12x + 20
2(6x + 10)
3(4x + 5)
4(3x + 20)
4(3x + 5)
Write in factored form.
-8x + 22
2(4x + 11)
-2(4x - 11)
-2(-4x + 11)
2(-4x+11)
Factor completely.
-6x - 20
2(-3x - 10)
-2(3x + 20)
-2(3x + 10)
2(3x - 10)
Factor: -54x + 27
-27(2x-1)
-9(6x-3)
-3(18x-9)
__(5x + 1) = 10x + 2
39u + 13
20y - 5
x + 7 = 12
4p = 16
8 = x + 1
What is the inverse of addition?
multiplication
division
subtraction
addition
What is the inverse of multiplication?
Addition
Subtraction
Division
What is the inverse of division?
Addition
Multiplication
Subtraction
What is the inverse of subtraction?
Division
Multiplication
Addition
Match the following equations to their solutions.
6=x+3
x = 3
2x=4
x = 2
5x=3
x = 15
x−7=1
x = 8
6x=54
x = 9
Solve for the unknown variable:
x+5=8
(a)
Solve for the unknown variable:
m+9=2
(a)
−3x=−9
x=-3
x=-6
x=12
x=3
17+x=−5
x=−22
x=22
x=−12
x=12
What is the first step to solve for b:
2b = -16
add 2 to both sides
subtract 2 to both sides
multiply 2 to both sides
divide 2 to both sides
What is the first step to solving this equation?
add -8 to both sides
subtract -8 to both sides
Multiply -8 to both sides
divide -8 to both sides
x - 62 = 123
What is a variable?
Something that varies
an unknown person
an unknown number
x+5
x+ 3=10
3
10
13
7
Use your calculator, scrap paper, or whiteboard to solve the one step equation
55
35
31
66
-2.6 + x = -4.6
Evaluate: -35 + y= 70
35
-35
105
-105
Solve the equation. Check your solution. It's - 7/8
24
147/8 or 18 3/8
168
-24
How do you solve this equation?
21=41a
add both sides by 41
subtract both sides by 41
multiply both sides by 41
divide both sides by 41
Solve the following equation.
0.9k=2.7
*Hint: Do the opposite operation*
k=3
k=2.43
k=1.8
What does isolate the variable mean?
Get the variable alone
Get rid of the variable
What is the inverse of multiplication?
Addition
Subtraction
Multiplication
Division
12g - 5 = 19
Which is the correct 1st step?
Add 12 to both sides
Add 5 to both sides
Add 19 to both sides
12g−5=19
12g = 24
What is the next step?
Multiply both sides by 12
Divide both sides by 12
Multiply both sides by 24
Divide both sides by 24
2t -7 = 3
Find the value of t
-2
2
5
20
What is the reciprocal of 52
− 52
0.4
25
52 h + 6 = 8
What is the first step that should be done to both sides?
+6
-6
+8
-8
52 h = 2
What is the second step that should be done to both sides?
+ 25
− 25
⋅ 25
÷ 25
52 h = 2
What is the value of h?
54
2 52
2
5
10 = 2d - 5
What is the value of d?
2.5
7.5
15
20
32x + 1 = 35
What is the value of x?
0
1
2
3
11 - 3x = 44
6n + 4 = -26
y = -4
-30 - 5x = 120
-6w + 1 = -11
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
11 - 3x = 44
Level 3
Solve for a
a= -2
a= -6
a= 3
a= 15
Level 3
Solve for x
x = 2
x = -2
x = -10
x = 4
Level 3
Identify the steps to solve for b
Add 6 to both sides and divide both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
Add 62 to each side.
Subtract 62 from each side.
Multiply each side by 62.
Add 123 to each side.
Solve for y.
-15 = -4y + 5
y = -5
y = 5
y = -24
y = -16
y = 80
3x+9=8
(a)
Solve for y:
3y−5=2
(a)
3(x+2) = 15
13
7
4.33333
3
Solve for x.
6 = 4x + 2
x = 16
x = 0
x = 4
x = 1
x = 8
Solve for y.
-15 = -4y + 5
y = -5
y = 5
y = -24
y = -16
y = 80
Solve for n.
2n + 10 = -2
n = -14
n = -10
n = -24
n = -6
n = -12
Solve for x.
4x + 7 = 23
x = 16
x = 4
x = 9
x = 12
Solve for c.
3c + 5 = 23
c = 3
c = 6
c = 7
c = 18
What is the first step to solve this equation:
-11 - 3x = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
Solve for w.
-6w + 1 = -11
2
1.2
12
-2
Solve for a.
7 + 3a = 5
a= -2
a= -6
a= 3
a= 15
What are the steps to solve for b in the equation below?
5b - 6 = 24
Add 6 to both sides then divide both sides by 5
Add 6 to both sides then multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
Solve for w.
3w + 6 = 8
w = 2
w = 4
w = 6
w = 8
What is the first step to solve the equation below?
11 - 3x = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
Solve for x.
9 + 3x = 10
32
31
−31
4
Solve for z.
6z + 3 - 4z = 9
z = 3
z = 60
z = 30
z = 1
Solve for s.
9 = 2s + 1
4
-4
3.5
5
Solve for t.
-4 = 2t - 2
-1
1
4
0
5x + 7 = 12
10 - 3y = 4
-6x + 1 = -11
Solve for x:
4 = 3x−6
x = 30
x = 18
x = -6
x = 12
Solve for x:
27+x= 14
x = 35
x = 0
x = 21
x = 14
Solve for x:
3x−4=2
x = 10
x = 18
x = 2
x = -2
Solve for x:
3x+ 9 = 12
x = 1
x = 25
x = 9
x = -9
32
28
-28
0
7k - 14 = 42
7
-8
0
8
-12 = 24 + 4b
3
0
-9
9
9=4g+13
1
-1
0
3
-5 + 7k = -19
-3
5
2
-2
-5x = 25
3c = 12
36
4
15
9
x/3+ 10 = 15
Solve the equation, if possible. x+2x−1 = 38
13
identity
no solution
39
Solve the equation, if possible. 2v+5v−8=13
3
identity
no solution
7
Solve the equation, if possible.
2a−6(a−4)= −4
7
identity
0
-5
Solve the equation, if possible.
56(5−4g)=−18
7
no solution
5
-5
6n + 4 = -26
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
Step 4: Divide by 7
To solve the equation 4(2x+3)+7=43 reorder the following
Subtract 7 from both sides
Divide both sides by 4
Subtract 3 from both sides
Multiply both sides by 2
21 = 0.75a
Simplify the expression.
6 + 2(-3x + 4)
14 - 6x
-5x + 14
36 - 18x
-6x + 12
Solve for x. −6.1 + x = −19.3
25.4
-13.2
-25.4
-17.8
0.36y = -18
5x + 7 = 12
Which is the correct order in which to solve multi-step equations?
Distribute
Combine like terms
Get the variable on one side by add or subtracting
Divide or multiple
Add or subtracting
Distribute
Combine like terms
Divide or multiple
Divide or multiple
Add or subtracting
Distribute
Combine like terms
What is the first step you would do to solve the following equation?
2x - 14 = 34
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Combine like terms
What would be SECOND step when solving the following equation?
2x - 14 = 34
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Combine like terms
Solve the following two-step equation
2x - 14 = 34
x = 10
x = 48
x = 40
x = 24
What value for x makes the following equation true?
12x + 4x = 64
x = 4
x = 16
x = 8
x = -4
Solve the following equation
5x + 3 = 28
x = 25
x - 6.2
x = 5
x = 3.8
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
6(3a +1) - 30 = 3(2a - 4)
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300
Solve
5
2
No Solution
Infinitely Many Solutions
Solve
2
-8
No Solution
Infinitely Many Solutions
Which equation will end in "no solution"?
2w - 11 = 3w + 5
2(w + 8) = 2(2w - 19)
w + 7 + w = 2w - 9
2w - 6 = 2(w - 10) + 5w
