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100
A runner travels 3/4 mile in 1/2 hour. What is the runner's unit rate in miles per hour?
1 1/2 or 1.5 mph
3/4 * 2 = 1.5
100
Michelle had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
$2
Work:
$24 - $10 = $14
$14 divided by 7 = $2
100
Olivia bought a jacket 30% off the original price. Expression for discounted price: x − 0.30x.
What expression is equivalent?
A) 1.30x
B) .30x
C) -0.30x
D) 0.70x
D
1x - 0.30x = 0.70x
100
Solve for x.
9x − 7 = −7
x = 0
9x - 7 = -7
9x = 0
Anything divided by 0 is 0
100
During the week, Ms. Torr spent and earned money at Taco Bell.
On Monday, she started with $12. On Tuesday, she spent $8. On Wednesday, she earned $5 working a short shift. On Thursday, she spent three times the amount she spent on Tuesday.
Ms. Torr claims that by Thursday, she still has money left.
Do you agree or disagree with Ms. Torr? How much money does she have left?
Ms. Torr is incorrect. She is in debt by $15.
Monday: $12
Tuesday: $12 - $8 = $4
Wednesday: $4 + $5 = $9
Thursday: $9 - (8)(3) = -15
200
Simplify the expression.
4g -3(g +1) -7
Answer: g - 10
Work:
4g -3(g +1) -7
4g - 3g - 3 -7
g - 3 - 7
g - 10
200
In the expression shown, g = -5 and h = 12. Use these values to evaluate the expression below.
3g + h
The expression is equal to -3 based on the work below.
3(-5) + 12
-15 + 12
-3
200
Jordan went bowling. The shoe rental cost $5, and each game cost $3. If he spent a total of $17, how many games did he play?
3b+5=$17
4 games were played.
3b+5=$17
3b = $12
$12 divided by 3 = 4
200
A sweatshirt originally cost $30, but now costs $39.60. What is the percent change?
A) 24% increase
B) 32% increase
C) 24% decrease
D) 32% decrease
B) Increase by 32%
200
A principal wants to know the average number of books 7th graders read each month. Which sampling method would give the most accurate results?
A) Asking students in her 7th period ELA class
B) Asking only students who like reading
C) Randomly selecting 30 students from the 7th-grade roster
D) Asking students in the library during lunch
C) Randomly selecting 30 students from the 7th grade roster
300
A jacket originally costs $80. It is on sale for 25% off. After a 6% sales tax is added, what is the final price of the jacket?
$63.60
80 x .25 = 20
80 - 20 = 60
60 * 0.06 = 3.6
60 + 3.6 = 63.60
300
Which equation represents a proportional relationship with a unit rate (constant of proportionality) of 4?
y = 4
y = 4/x
y = 4x
y = 2x + 4
y = 4x
300
A laptop originally costs $900. It is discounted by 15%, and then a 7% sales tax is added to the discounted price. What is the final price of the laptop?
$818.55
$900 * .15 = $135
$900 - $135 = $765
$765 * 0.07 = $53.55
$765 + $53.55 = $818.55
300
Solve the following expression.
-25
-13 + -16 = -29
-29 - (-4) = -25
300
Factor the expression: 8x + 12
4 (2x+3)
400
331 students went on a field trip. Six buses were filled and 7 students traveled in cars.
How many students were in each bus?
54
331 - 7 = 324
324 divided by 6 = 54
400
A restaurant bill comes to $48.00. The customer leaves a 20% tip and there is a 6% sales tax. What is the total amount of tip that was left for the waiter?
$9.60
48.00 x .20 = 9.60
400
Joshua’s class was playing a review game. His team started with 8 points. They decreased 12 points. On the final question, Joshua earned 4 points for his team.
What is the final score for Joshua’s team?
Joshua's team ended the game with 0 points.
8 + (-12) = -4
-4 + 4 = 0
400
A proportional relationship is graphed. Which statement is always true about the graph?
It is a straight line through the origin.
400
A baker used 32 cups of flour to make 8 cakes. How many cups of flour did he use for each cake?
4
32 divided by 8 = 4
500
Rashad purchased movie tickets for himself and two friends. After buying the tickets, he has $17 left over to buy snacks for the movie. Snack prices (including tax) are shown below:
Candy $1.50
Popcorn $4.00
Drink $2.75
Can Rashad buy 4 drinks and 2 popcorns? If so, how much money does he have leftover? If not, how much more money would he need.
No, he is $2 short.
4 * 2.75 = 11
2 * 4 = 8
11 + 8 = 19
500
Simplify: 2a + 5 + 7a − 3 + 4
9a + 6
500
Which situation represents a proportional relationship?
A) A gym charges a $10 sign-up fee plus $5 per month
B) A car travels 60 miles in 1 hour and 130 miles in 2 hours
C) A taxi charges $3 to start the ride and $2 per mile
D) A phone plan charges $30 per month with unlimited use
D) A phone plan charges $30 per month with unlimited use
This is a proportional relationship because each month increases by $30 and there is no initial fee.
500
Simplify: −4(3m − 7)
-12m + 28
500
A grocery store sells apples for a constant price per pound. A customer pays $7.50 for 3 pounds of apples. What is the constant of proportionality?
$2.50 per apple
$7.50 divided by 3.