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WorksheetsMixed Review #3
Total questions: 73
Worksheet time: 4hrs 49mins
2x + 9 + 7x?
3x + 7 - 9x + 24y + 2x2
v + v + v + v + v?
d + d + d + 3 + 2
4x2 - 3x + 11 -2x
4x2 – 2x2 + 2y + 6y2 – y + x2
Simplify by combining like terms:
3x-5x
2x
8x
-2x
15x2
Simplify by combining like terms:
-6k + 7k
k
-k
12k
-12k
Simplify by combining like terms:
-r -10r
11r
-11r
9r
-11
5a + 2b - 3a + 4
3x + 2x + 3y - 7y
5a + 2b - 3a + 4
X2 can be combined with X
True
False
Simplify the Expression:
3a + 7 - 2a
8a
12a
a + 7
5a + 7
Simplify the expression:
3x2 - x + 7 + 5x + 2 - 2x2
x2 + 4x + 9
5x2 + 9
15
15x
Simplify the Expression:
3x2y + 4x - 6y + 4x2y -2y
11x2y - 8y
3y
7x2y - 4y
7x2y + 4x - 8y
2xy can be combined with 3xy2
True
False
x2 can be combined with 2x2
True
False
Simplify the Expression:
3m - 15 + 2m - 4
5m - 19
m + 19
5m - 15
24m
Simplify the Expression:
2x2 - 7x + 10 - x2
-4x2 + 10
20x
x2 - 7x + 10
3x2 - 7x - 10
Simplify the Expression:
9xy + 3x - 6xy + 2x
3xy + 5x
8xy
8x
15xy + 5x
What are like terms?
Terms with different variables
Terms with the same variables
Terms with no variables
Combine the like terms in the expression: 4z+2z-8
There are no like terms
6z-8
8z-8
Combine the like terms in the expression: 3r+2r-8t
There are no like terms
5r-8t
13rt
Simplify expression
-2 + 7p + 1 - 7p
-14p + 7p
-9p + 8p
-3 - 14p
-1
Simplify expression
6 - 10m + 4 + m
60m + 4m
10 - 9m
10 + 11m
16m + 4
The perimeter is 82 ft. What is the length of the longer side?
13
22
28
31
34
What is the Perimeter?
3x - 3 inches
6x - 6 inches
3x - 6 inches
6x - 3 inches
Choose the correct answer below.
P=6x2+18x−10
P=3x2+9x−5
P=12x−5
P=24x2−30
Each day, you run on a treadmill for 20 minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
5(20 + 15)
15(20 + 5)
20(15 + 5)
5(20 x 15)
An art club sells 42 large candles and 23 small candles each week. Write an expression showing how many candles they sell each in 7 weeks.
23(7 + 42)
7(23 + 42)
42(7 + 23)
7(23 x 42)
Apples sell for $0.75 and pears sell for $0.60. If Jamie sold 9 of each fruit, which expression shows this?
6($0.75 - $0.60)
9($0.75 + $0.60)
9($0.75 x $0.60)
6($0.60 + 9)
Seven people visited a local restaurant to get some lunch. A burger costs $8 and a bottle of soda costs $2. If all seven people ordered a burger and a soda, which a numerical expression shows the amount of money the restaurant made for this order.
7(2 + 8)
8(8 + 2)
2(8 + 7)
7(8 x 2)
Each row in a classroom has 11 girls and 12 boys. There people 9 rows in that class. Write a numerical expression to show the number of students in that class.
11(9 + 12)
11(9 x 12)
9(11 x 12)
9(11 + 12)
There are 8 rows of flowers in the garden. Each row has 3 roses, 4 mums, and 5 tulips. Which expression represents this situation?
(8x3) x (8x4) x (8x5)
8 (3 + 4 + 5)
8 (3 x 4 x 5)
8 + 3 + 4 + 5
Mr. Boughton gave each of his three children a $20 bill and a $100 for their birthdays (all of which are in March). Which expression represents the total amount he gave?
100(3 x 20)
3(100 x 20)
3(100 + 20)
20(100 x 3)
-She mailed 2 cards to each of her sisters in November
-She mailed 5 cards to each of her sisters in December.
The expression (2 x 3) + (5 x 3) could be used to find the total number of cards Mrs. Parrish mailed to her sisters. Which expression shows another way to find the total number of cards Mrs. Holly mailed to her sisters?
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.
y = 2x + 15
x = 15y + 2
y = 15x+ 2
Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?
y = 25x + 40
y = 40x + 25
y = 25x
y = 25x - 40
A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?
y = 12.50 + 30x
y = 30 + 12.50x
y = 12.50 + 30
12.50x = 30
Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.
y = 100x
y = 20x
y = 20x + 100
y = 100x + 20
Sally plans to walk 12 miles every week. Write an equation to represent this situation.
y = 12x
y = 12x + 12
y = 10x + 2
y = 2x + 10
Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.
y = 10x + 5
y = 20x
y = 15x + 5
y = 5x + 15
Joe has $150 in his savings account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?
y = 150 + 40
y = 40x + 150
y = 150x + 40
A plant is 5cm tall and growing at a rate of 3cm a month.
y = 5 - 3x
y = 5x + 3
y = 3x +5
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. What is the y-intercept in context.
The additional fee of $8.
The initial fee of $25.
The additional fee of $25.
The initial fee of $8.
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation that models this situation.
y = 20x + 5
y = 5x + 20
y= -5x + 20
y = 5x - 20
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
When subtracting 8−3 , which number do you START at?
8
3
5
-3
Use the number line to find the SUM.
- 8 + 3 =
- 11
- 5
11
5
When adding 18 + 6, what number do you START at?
24
12
6
18
When ADDING positive numbers on a number line, you move to the ____________.
Right --->
Left <---
To SUBTRACT, move to the ________ on the number line.
right
left
positive
less
To ADD, move to the _________ on the number line.
right
left
zero
up
Solve the problem.
- 4 + 3
7
-7
-1
1
Solve the problem.
- 3 - 2
- 3
- 2
- 1
- 5
Solve the problem.
5 - 8
- 3
- 13
3
13
Use the number line to find the SUM.
- 4 + (- 5) =
9
1
- 9
-1
