Math 7ACC, period _____ Practice Final Exam
Section 1
Solve the following problems.
1. Trey is four times as old as Annie. Mary is two years older than Trey. If Mary is 38 years old, how old is Annie?
2. Jane went to the store with $12. It cost $5.00 for a pair of socks and $0.75 for each pencil. Jane bought one drink for $1.25, a pair of socks, and she bought as many pencils as she could afford. If Jane did not buy anything else, how much money did she have when she left the store?
3. James has pennies, nickels, and dimes in his bank. He has more than $1.60 and less than $2.00 in the bank. There are 10 times as many pennies as dimes. There is an equal number of nickels and dimes. What is the exact amount of money in his bank?
4. Consider the real numbers M, N, P, and Q, and the following relationships: M < N
N < P Q > P
Which is bigger: Q – N or Q – M?
Menu
Pizza Pasta Heroes
Meatball $8.00 Baked Ziti $6.50 Meatball $4.50 Pepperoni $7.50 Lasagna $6.50 Sausage $4.00
Sausage $8.00 Chicken $4.50
Vegetable $7.00 Peppers $6.50
1. A table orders 2 meatball heroes and a vegetable pizza. What was the total cost?
2. Tax is 8¼%. What was the tax for this table?
3. Tip is 15%. What is the tip for this table?
4. Pasta is discounted by 10% today. How much does the baked ziti cost?
6. 81% of the students in a middle school buy school lunch. If there are 600 students in the middle school, about how many buy lunch?
7. There are 180 seventh graders at EMS. Next year, there will be 125% of these. How many seventh graders will be at EMS next year?
8. A watch normal costs $50. It is discounted by 20%. What is the sale price of the watch?
9. How much simple interest is earned on an investment of $10000 if the money is invested for 15 years at an annual interest rate of 6.25%?
Directions: Solve for the missing variable in each equation.
1. 4x + 6 = 56 2. 5x + 5 = 80
3. 2x + 10 = 6x + 15 4. 6y + 11 = 4y + 11
5. 3(x – 3) = 30 6. 4(p – 2) = 60
7. 4x + 6 + 4x – 10 = 20 8. 6x – 3 – 4x + 11 = 16
Section 4
Salary for Delivery People
0 5 10 15
1 2 3 4 5
Number of Papers
S
al
ar
y Newsday
Times
1. How much does a Newsday delivery person make for delivering 4 papers?
2. How much does a Times delivery person make for delivering 3 papers?
3. For how many papers delivered do the companies pay the same amount?
4. How many papers does a Newsday carrier need to deliver in order to make $10?
Write an expression for each of the following problems.
1. A cab costs $5 the first mile plus $1.25 each additional mile, x. Write an expression to represent the cost of a cab ride.
2. The length of a rectangle is 3 more than the width. Write an equation to find the length if the area is 12 square inches.
3. You can buy a shirt on layaway for $10 today plus $5 a month for a year. Write an expression to represent the cost of the shirt.
4. You are making cupcakes. Each box of cupcake mix costs $3.19 and makes 12 cupcakes. You need to make 3 dozen cupcakes. Write an expression that could be used to determine the cost of the mix you will need to buy.
Section 6
1. Name a biased sample if you wanted to determine the most popular instrument among students at school.
2. Find the mean: 85, 70, 83, 86, 95, 95, 40.
3. Find the median: 85, 70, 83, 86, 95, 95, 40.
4. Find the mode: 85, 70, 83, 86, 95, 95, 40.
1. Demonstrate the additive inverse property.
2. Write an integer for the following situation: increase by 7.
3. What is the decimal equivalent of 1/6?
4. Order: .715, 71.5%, 29/40.
Section 8
Directions: Use the graph below to graph the following linear equations. Then answer the questions based on your graph.
y = 2x y = x - 5
1. What is the solution of the system of equations above? 2. What is the slope of y = x – 5?
3. What is the y-intercept of the line y = x – 5? 4. Is the point (0,0) a solution of y = 2x? 5. Is the point (0,0) a solution of y = x – 5?
1. You have 3 quarters, 5 nickels, and 10 dimes. Find the probability you pick a dime.
2. Use the counting principle to determine the number of possible outcomes if you choose a letter from the word MATH and roll a die.
3. Name two dependent events.
4. If you roll a die 100 times, how many times should it come up odd?
Section 10
1. If you draw a circle with a radius of 10 m., how long was your drawing? Use pi and round to the nearest tenth.
2. Find the area of a circle with a radius of 15 in. Use pi and round to the nearest tenth.
3. Draw an obtuse angle.
4. Classify a triangle with angles of 60 degrees, 45 degrees, and 75 degrees by angle.
5. Classify a triangle with 2 equal sides and all angles less than 90 degrees by both angle and side.
6. Find the missing number of degrees in a triangle which has two other angles that measure 50 degrees and 40 degrees.
9. Find the volume of a rectangular pyramid with measurements of 6”, 9”, and 15”.
Section 11
1. Simplify: 5(-3x – 6).
2. Simplify: 11x + 9 – 5x – 8.
3. Simplify: (-5x + 6) – (6x – 9).
4. What is the last operation to be performed to solve: -3x + 8 < 9.
5. Divide: 6x 3 – 12x .
