Name: _______________________ Date: ________________________ Math 7ACC, period ____
Midterm Review
1) Which situation is best represented by the expression 5h + 3 ? 2) What is the simplified form of the expression?
3) Lamar claims that the weight, w, of her cat is at most 10 pounds. What inequality represents her claim?
4) Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $30. By what percent had the watch been marked down?
5) The cost of Cynthia’s dinner is $15. She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?
6) Find the value of x in the equation below.
2(x + 2) = x
7) What verbal expression is the same as the algebraic expression below?
6 – 2x
8) Simplify the expression.
10) If you weigh 100 pounds on Earth, you weight about 16 pounds on the moon. How much would a 150 pound person weigh on the moon?
11) Simplify: (-5x + 3) – (6x – 9)
12) Hector spent $17 for a tube of paint and 4 brushes. The tube of paint cost $2. Which equation can be used the find b, the cost of each brush?
13) How much simple interest would be earned on an $100 investment for 10 years at 5%? 14) What is the simplest form of the algebraic expression: -5g + 8 + 10g - 2?
15) The cost of Ken’s car wash was $25. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?
16) Cody has $800 in a savings account that pays 4% simple interest. What is the amount of simple interest he will earn in 2 years?
17) In Nadia’s DVD collection, she has 8 action DVDs, 12 comedy DVDs, 7 romance DVDs, and 3 science fiction DVDs. What percent of Nadia’s DVD collection are sci fi?
18) A salesman needed to sell a four-wheeler. He priced it at $4,500 the first day it was on the market. The second day he reduced the price by 10%. What was the price of the four-wheeler after this reduction?
19) Five out of 10 people take the bus to school. About how many people would you expect to take the bus if you interview 600 people?
20) Which measure of center would you choose to use for test grades if your grades were: 90, 90, 80, 70, and 95?
21) Which measure of center would you use to describe two data sets that are symmetric? 22) What is the decimal form of the fraction -1/8?
24) Which of the fractions shown is not a terminating decimal?
25) Which of the following is closest to 4.6?
26) Which of the following equations matches the description below? five more than the quotient of a number and two is 14.
27) What is the value of m in the equation below? 4m + 14 = –3m + 49
28) What is the solution of the equation below? –2(3p – 4) = 3(p + 12)
29) What is the solution of the equation below? 2p – 14 = 4(p + 5)
Part II.
1) Coretta buys a pair of jeans that is on sale for 20% off. The regular price is marked as $32.00. What is the sale price of the pair of jeans? Show your work.
2) Gina programmed her computer to perform an algorithm. At each step, her computer displays a number on the screen. The table below shows the number the computer displays on the screen for the first 6 steps.
Algorithm Steps
Step Number on Screen
1 2 2 5 3 8 4 11 5 14 6 17 Part A
If the pattern in the table continues, what number will the computer display on the screen at step 9?
Part B
If the pattern in the table continues, what number will the computer display on the screen at step 50?
Part C
Explain how you know which number will be displayed on the screen after each step.
3) You rip a paper in thirds every 5 minutes. How many pieces will you have after 30 minutes? When will you have 2187 pieces?
for delivery service. Ron made a delivery of roses for which he charged $59.00. Write an equation that you could use to find how many roses, r, he delivered.
Equation _____________________________________
Solve your equation to find the number of roses he delivered.
5) Cable Company A increases their rates from $100 a month to $101 a month. Part A What is the percent of increase?
Part B Cable Company B offers their cable for $105 dollars a month but gives a 10% discount for new customers. Describe two ways to find the cost for new customers.
Part C If you currently use Cable Company A, would it make sense to change to Cable Company B? Explain.
2x
4x + 1
x + 2
x + 3
3x + 2
3y + 5
3y + 2
4y – 2
3y – 4 2y + 5 2y
2y + 8 2y
7) The polygon below has the side lengths shown.
Part A Write an expression in simplest form for the perimeter of the figure.
Answer _______________________
Part B If the perimeter is 154 units, what is the value of y?
8) In the equations below, each of the variables a, b, c, d, e, and f represent a different value from the choices 1, 2, 4, -1, -2, and -4. Use the equations to determine the value of each variable. Show your work and explain your reasoning.
Equations a = _______
b • b = f b = _______
d + d = c c = _______
f • a = a d = _______
d • d = e e = _______
