7.EE.A.1
Simplify the expression:
3x+5x
a.) 2x
b.) 8x
c.) 15x
d.) 3x
b. 8x
Lincoln estimates the height of a tree. Lincoln's estimate has a 6% error. The actual height of the tree is 17 feet. What could be Lincoln's estimate?
Choose all that applies:
a.) 11
b.)15.98
c.)18.02
d.) 16.94
e.) 23
B.) 15.98
c.)18.02
d.) 16.94
James is buying a new shirt. He has a coupon that gives him a 20% discount off the shirt's original price (p).
Which expression could be used to find the new cost of the shirt after the discount?
a. 0.2p
b. 0.8p
c. 1-0.2p
d. 100p - 20p
b. 0.8p
Jim works for 34 hours and earns $9.25 per hour. He spends $120.75 on a skateboard. How much money does Jim have left of his earnings after buying his skateboard?
a. 164.00
b. 193.75
c. 228.50
d. 435.25
b. 193.75
A ski resort charges Susan a flat fee of $65 to rent skis. It also charges her a daily rate of $22 for a ski lift pass to get skiers back up the mountain. Let d = the number of days a ski lift pass is rented.
If Susan is charged $175, which equation represents her situation?
a. 175= 65d + 22
b. 175= 65 + 22d
c. 175= 87d
d. 175 =22(d+65)
b. 175= 65 + 22d
The side lengths of a triangle are as shown:
x+4 ; x+4 ; 2x-10
which expressions represent the perimeter of the triangle? Select all that apply:
a. 2x-2
b. 2x-10
c. 4x-2
d. 2(x+4 + 2x-10)
e. 2(x+4) +2x-10
c. 4x-2
e. 2(x+4) +2x-10
Ted makes $12 an hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours? What is the percent of change? Is it an increase or a decrease?
a.) $48.50, $0.50, decrease
b.) $50.40, $2.40, increase
c.) $ 48.50, $0.50, increase
d.) $50.40, $ 2.40, decrease
b.) $50.40, $2.40, increase
Four friends are attending a concert. One ticket to the concert is $75. The cost of parking is split among the four friends.
If p represents the cost of parking, which equation represents the cost of one friend attending the concert?
A. 75p + 4
B. 75 – (4 × p)
C. 75 + (p ÷ 4)
D. 75 ÷ 4p
C. 75 + (p ÷ 4)
Which equations are true if x=4
Select all that apply.
a. 3x+7=19
b. 10x+8=22
c. 8(x+2)=48
d. 4x+6=16
e. 7(x+3)=31
a. 3x+7=19
c. 8(x+2)=48
Yannick earns $70 per day as a watch salesman. He also receives a $10 commission for each sale he makes. Yannick's goal today is to earn at least $150.
Select all the inequalites that represent the number of sales, s, Yannick must make today to reach his goal.
a. 10 + 70s > 150
b. 70 +10s ≥ 150
c. 150 ≤ 10s +70
d. 10 + 70s ≥ 150
e. 150 < 10s + 70
B. 70+10s≥150
C. 150≤10s+70
Which expression would be added to 5x+7 to make it equivalent to the expression 9(x+1)?
a. 4x-6
b. 4x+2
c. 9x+1
d. 14x+8
b. 4x+2
The actual length of a bike is 48 inches. Jason’s estimate has a 4% error. Which estimate could Jason have made?
a.) 44 in
b.) 46.08 in
c.) 47 in
d.) 49.92 in
e.) 55 in
b.) 46.08 in
d.) 49.92 in
Which expression is equivalent to the expression
4(3x−5)+2x
A. 12x-20
B. 14x−20
C. 12x−20+2x
D. 12x−10+2x
B. 14x−20
A landscaper charges a flat fee of $50 to mow a lawn and $15 per hour for additional yard work. This week, a customer paid $170.
Write an equation to determine the number of hours, hhh, the landscaper worked for additional yard work. Solve for h.
A. 50+15h=170
B. 170=50+15h
C. 15+50h=170
D. Both A and B
D. Both A and B
A farmer sells apples at $3 per pound. He also earns a fixed $20 for delivering the apples. The farmer wants to earn at least $50 in a day.
Select all inequalities that represent the number of pounds, p, the farmer must sell today to reach his goal.
A. 3p+20≥50
B. 50≤3p+20
C. 20+3p≥50
D. 50<3p+20
E. 3+20p≥50
B. 50≤3p+20
C. 20+3p≥50
Which expression is equivalent to the perimeter of a rectangle with sides
(x+5) and (2x−3)?
a.) 3x+2
b.) 6x+4
c.) 4x+10
d.) 6x−4
b. 6x+4
A shirt normally costs $32. The store advertises the sale price as having an 8% discount, but the cashier accidentally gives a 12% discount instead. What is the difference in the discount amounts in dollars?
a.) $1.28
b.) $2.56
c.) $3.20
d.) $4.00
a.) $1.28
Mia is putting together gift bags for her little sister’s birthday party. She packs 3 candy packs and 2 small toys into each bag.
She knows that each candy pack costs $4, and each toy costs $3.
Mia writes the expression
3(4)+2(3)3(4) + 2(3)3(4)+2(3)
to represent the total cost of one gift bag.
Which expression is equivalent to the cost of one gift bag?
A. 12+6
B. 3(4+2)+3
C. 6(4+3)
D. 4+3(3+2)
A. 12+6
Beth used her calculator to multiply 19 by 0.2, and her answer was 38. What mental check can Beth use to test whether her answer makes sense?
a. Multiplying by 0.2 is the same as multiplying by 5, so her answer should be close to 20 times 5.
b. Multiplying by 0.2 is the same as dividing by 5, so her answer should be close to 20 divided by 5.
c. Multiplying by 0.2 is the same as multiplying by 2, so her answer should be close to 20 times 2.
d. Multiplying by 0.2 is the same as dividing by 2, so her answer should be close to 20 divided by 2.
b. Multiplying by 0.2 is the same as dividing by 5, so her answer should be close to 20 divided by 5.
Maria earns $12 per hour babysitting. She also receives a $15 bonus for working more than 5 hours in a day. Maria wants to earn at least $75 today.
Which inequality represents the number of hours, h, Maria must work today to reach her goal?
A. 12h+15≤75
B. 12+15h≥75
C. 75<12h+15
D. 75≤12h+15
D. 75≤12h+15
Which expression is equivalent to
3(x+2)
a.) 3x+2
b.) 6x+3
c.) 3x+6
d.) x+5
3x+6
A contractor estimates a wall to be 22 feet long. His estimate has a 7% error. The customer says the actual measurement is between 20.5 feet and 23.5 feet. Is the customer’s range possible based on the percent error?
a.) Yes, because the acceptable error range is 20.46 to 23.54
b.) Yes, because any number within 2 feet is acceptable
c.) No, because the estimate must be within 1 foot
d.) No, because the customer’s range is too small
a.) Yes, because the acceptable error range is 20.46 to 23.54
Landry writes the expression n + 0.08n to solve a problem.
Which problem could Landry be solving with that expression?
A. Landry sets a goal to swim n laps this week. Next week, he hopes to increase his lap total by 8%. How many laps will Landry swim next week?
B. Landry sets a goal to swim n laps this week. Next week, he hopes to increase his lap total by 8%. How many laps will Landry swim in the 2 weeks combined?
C. Landry sets a goal to swim a mile in n minutes this week. Next week, he wants to improve his time by 8%. How many minutes did Landry swim next week?
D. Landry sets a goal to swim a mile in n minutes this week. Next week, he wants to improve his time by 8%. How many minutes did Landry swim in the 2 weeks combined?
A. Landry sets a goal to swim n laps this week. Next week, he hopes to increase his lap total by 8%. How many laps will Landry swim next week?
Jordan is saving money to buy a new pair of running shoes. He already has $48 saved. He decides to save $12 every week from his allowance. Jordan wants to have at least $120 saved before buying the shoes.
Which inequality can be used to determine the number of weeks, w, Jordan needs to save?
A. 48+12w≥120
B. 120≤48w+12
C. 48+12w=120
D. 12w−48≥120
A. 48+12w≥120
A cook at a restaurant is calculating the amounts of ingredients needed to make soup for the next 5 days. For each of these days, she will use 2 (1/8) pounds of carrots and y pounds of celery. She will use a total of 19 (3/8) pounds of carrots and celery to make all the soup.
Which equation shows how to find the number of pounds of celery, y, she will use to make soup each day?
A. y= 19(3/8) - 2(1/8)
B. y= 19(3/8) / 5
C. (19(3/8)-2(1/8)) / 5
D. y=(19(3/8)/5)- 2(1/8)
D. y=(19(3/8)/5)- 2(1/8)