CLT
Equations
Inequalities
Expressions
More Expressions
100
Simplify this expression. 2x+5x-7x
0
100
Which equation is equivalent to 11x-(2-x)=51?
a) 13x=51
b) 12x=53
c) 12x=49
d) 10x=53
b) 12x=53
100
Jake wants to call his cousin from his new cell phone. The first minute costs $0.25 and each additional minute costs $0.10. Jake has $1.65 to spend on his call with his cousin. Which graph shows how many minutes they can talk on the phone?
a)
b)
c)
d)
b)
100
Terrance used this expression to find the final price, in dollars, of a hat that is discounted 30% off the original price of $20.
20-(20*0.3)
Which of the following is an equivalent expression?
a) 20-0.7
b) 0.3(20)
c) 20-0.3
d) 0.7(20)
d) 0.7(20)
100
Jennifer is 4 years older than Harvey. Harvey is twice as old as Gwen. If Gwen is g years old, write an expression that represents Jennifer’s age?
2g+4
200
Simplify this expression. x+x+x+x+x+x+x+x-10y
8x-10y
200
Kayla buys 5 candles for x dollars each and 5 candle holders for $3.50 each. Kayla spends a total of $27.50 for the candles and candle holders.
Write the cost, in dollars, of the cost of one candle.
$2.00
200
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips, c, that sell for $1.99 each. She can spend no more than $75.00. Write the inequality that matches the scenario.
1.99c+59<75
200
Which of the following is equivalent to this expression?
6x+4(1-x)
a) 2(x-4)
b) 2(x+4)
c) 2(x+2)
d) 2(x-2)
c) 2(x+2)
200
Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?
a) Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.
b) Sarah, who walked a straight distance of n+20 feet
c) Nancy, who walked around a square garden measuring n+5 feet on each side
d) Billy, who walked around a square lot measuring 20 feet on each side
c) Nancy, who walked around a square garden measuring n+5 feet on each side
300
Simplify this expression. x+x+2x+3+4x+5-7x
x+8
300
Courtney made 3 withdrawals of equal amounts from her savings account. The equation below can be used to determine x, the amount in dollars of each withdrawal.
400-3x=322.75
What was the amount in dollars of each of Courtney’s withdrawals?
$25.75
300
A gym for children uses the inequality below as a guideline for how much weight children of different ages should lift.
1/6P+4<A
In the inequality, P is an appropriate number of pounds for the child to lift, and A is the age of the child in years. If A=12, which statement best interprets the solution to the inequality?
a) A 12-year-old must lift more than 6 pounds.
b) A 6-year-old may only lift weights less than 12 pounds.
c) A 12-year-old may only lift weights less than 48 pounds.
d) A 12-year-old may only lift weights less than 68 pounds.
c) A 12-year-old may only lift weights less than 48 pounds.
300
Amy and Ben each get paid an hourly wage of $12 per hour. This week, Ben will make an additional $46 in overtime pay. They want to calculate the total amount of money they will make this week if Amy works a hours and Ben works b hours.
Which of the following statements are true? Select two that apply.
a) The expression 12(a+b)+46 shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
b) The expression 12a+58b shows the sum of the amount of money Amy made and the amount of money Ben made.
c) The expression 46(a+b)+12 shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
d) The expression (a+12)+(b+58) shows the sum of the amount of money Amy made and the amount of money Ben made.
e) The expression 12a+(12b+46) shows the sum of the amount of money Amy made and the amount of money Ben made.
a) The expression 12(a+b)+46 shows the combined amount of money Amy and Ben made for their hourly work plus the overtime amount.
e) The expression 12a+(12b+46) shows the sum of the amount of money Amy made and the amount of money Ben made.
300
Mr. O'Neal prints a variety of sizes of a rectangular poster to hang around his school. The perimeter of each rectangular poster can be represented by the expression below.
2(4n+10)
Mr. O'Neal wants to write an equivalent expression that represents the perimeter of the rectangular poster as the sum of the four side lengths.
Which of the following best represents what Mr. O'Neal wants to write?
a) 4n+10+4n+10
b) 8n+20
c) 28n
d) 2n+5+2n+5
a) 4n+10+4n+10
400
Simplify this expression. 3xy+4x-5xy+3-5x
-2xy-x+3
400
A company charges $7 for a T-shirt and ships any order for $22. A school principal ordered a number of T-shirts for the school store. The total cost of the order was $1,520. How many T-shirts did the principal order?
214 t-shirts
400
Which graph shows the solution to this inequality?
15<-3x+6
a)
b)
c)
d)
b)
400
This year, Martin’s income is 1/4 greater than his income from last year. If s represents Martin’s income last year, what is his income this year?
a) 1/4s
b) 5/4s
c) 4/5s
d) 4s
c) 5/4s
400
The figure below shows the unit lengths of each of the four sides of a quadrilateral.
What is the perimeter of the figure, in units?
12x-1
500
Dexter found a pair of jeans on sale for 40% off. When he brought it to the register, he discovered that all the store items were on sale for an additional 10% off. He wrote this expression to represent the final cost of the jeans based on the original price, J.
(1-0.40)(1-0.10)J
When Dexter simplifies this expression, what can he conclude about the sale price of the jeans?
The sale price is 54% of the original price.
500
Which of the following equations is equivalent to
16x-8+2x=100?
a) 6x=100
b) 10x=100
c) 14x=108
d) 18x=108
d) 18x=108
500
Samantha is planning to take a trip. The cost of the plane ticket is $575. She earns $15 an hour (h) and has already saved $135. Which of the following inequalities shows the number of hours (h) Samantha could work in order to buy her ticket? Create an inequality that applies.
15h+135>575
15h>440
500
In order to solve the equation 9x=-3(x+1/3y) for y, a student simplifies the equation as shown:
Step 1: 9x=-3x+-3(1/3y)
Step 2: 9x=-3x+-y
Step 3: 9x-3x=-y
Step 4: 6x=-y
Step 5: y=-6x
Which statement describes the error the student made in simplifying the equation?
a) The student subtracted 3x when he or she should have added 3x in step 3.
b) The student should have kept the y on the right hand side in step 5.
c) The student should have only multiplied the x by -3 in step 1.
d) The student missed a double negative 9x=-3x-(-y) in step 2.
a) The student subtracted 3x when he or she should have added 3x in step 3.
500
Which of the following expressions is equivalent to 18x+12-4?
a) 26x
b) 30x-4
c) 2(9x+4)
d) 2(9x+12-4)
c) 2(9x+4)