Question 1(Multiple Choice Worth 4 points)
(01.03 LC)
Sam is baking cakes at her parents' bakery. She gets paid $20 a week, in addition to $3 for every cake she bakes. She made $80 this week. Write an equation to show how many cakes Sam baked this week.
20 + 3x = 80
20 − 3x = 80
80 + 3x = 20
80 − 3x = -20
Question 2(Multiple Choice Worth 4 points)
(01.03 MC)
Tina and Maryann each play tennis. Maryann has won 5 more games than Tina. Is it possible for Tina to have won 12 games if the sum of the games Maryann and Tina have won together is 29?
Yes; Tina could have won 12 games because 2x + 5 = 29.
Yes; Tina could have won 12 games because 12 + 5 is less than 29.
No; Tina could not have won 12 games because 2x + 12 ≠ 29.
No; Tina could not have won 12 games because 2x + 5 ≠ 29.
Question 3(Multiple Choice Worth 4 points)
(01.01 LC)
Simplify the following expression:
3x − 8y + 2x2 + 3y − 8x
2x2 − 5x − 5y
2x2 −11x − 5y
2x2 −5x − 11y
2x2 −11x −11y
Question 4(Multiple Choice Worth 4 points)
(01.06 LC)
Rearrange the equation A = 4xy to solve for x.
x equals 4 times y over A
x equals A over 4 times y
x equals 4 times A times y over x
x equals A times x over 4 times y
Question 5(Multiple Choice Worth 4 points)
(01.04 MC)
Pasion wants to rent a car to take a trip and has a budget of $75. There is a fixed rental fee of $25 and a daily fee of $10. Write an inequality that would be used to solve for the maximum number of days for which Pasion can rent the car on her budget.
25x + 10 ≤ 75
25x + 10 ≥ 75
25 + 10x ≤ 75
25 + 10x ≥ 75
Question 6(Multiple Choice Worth 4 points)
(01.06 MC)
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, b, c and d, and will attend a district match. District match points count for four times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, a, to advance.
a equals T over 4 minus b minus c minus d
a equals T minus b minus c minus d all over 4
a equals T plus b plus c plus d all over 4
a = 4(T − b − c − d)
Question 7(Multiple Choice Worth 4 points)
(01.05 MC)
The sum of three lengths of a fence ranges from 31 to 40 inches. Two side lengths are 9 and 12 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
31 ≤ x ≤ 40
22 ≤ x ≤ 28
10 ≤ x ≤ 19
9 ≤ x ≤ 12
Question 8(Multiple Choice Worth 4 points)
(01.06 MC)
Jacob is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 250 miles per minute to travel to the moon? Round to the nearest hour.
40 hours
16 hours
57,360 hours
956 hours
Question 9(Multiple Choice Worth 4 points)
(01.04 LC)
Solve the inequality 4x − 6 > 6x − 20.
x > 7
x < 7
x < 2
x > 2
Question 10(Multiple Choice Worth 4 points)
(01.03 MC)
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Question 11(Multiple Choice Worth 4 points)
(01.02 LC)
The equation the quantity 2x minus 20 divided by 3 equals 2x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.
x = −5
x = −2
x = 2
x = 13
Question 12(Multiple Choice Worth 4 points)
(01.01 MC)
Finn and Ellie sell oranges at a produce stand. Finn earns $5 for each crate of oranges he sells. At the end of the week, Ellie has earned $20 more than Finn. The following expression shows Ellie's earnings:
20 + 5z
In the expression, what does the second term represent?
Finn's earnings at the end of the week
The number of crates of oranges Ellie sold
Ellie's earnings at the end of the week
The number of crates of oranges Finn sold
Question 13(Multiple Choice Worth 4 points)
(01.05 LC)
Solve for x: −1 < x + 3 < 5
2 < x < 8
−4 < x < 2
2 > x > 8
−4 > x > 2
Question 14(Multiple Choice Worth 4 points)
(01.02 MC)
Determine the solutions of the equation:
Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21.
x = −11 and x = 5
x = −81 and x = 45
x = −99 and x = 45
x = −99 and x = 99
Question 15(Multiple Choice Worth 4 points)
(01.02 LC)
The equation 8x − 12 = 4x represents two cars traveling in opposite directions, where x represents the distance in miles between the cars. What is the distance, in miles, between the cars?
x = 48
x = 30
x = 3
x = 1
answer each question seperately
1. 20 + 3x = 80
2. No; Tina could not have won 12 games because 2x + 5 ≠ 29.
3. 2x2 - 11x - 5y
4. x equals A over 4 times y
5. 25x + 10 ≤ 75
6. a = 4(T - b - c - d)
7. 9 ≤ x ≤ 12
8. 956 hours
9. x > 7
10. 3x + 2 = 30
11. x = -5
12. The number of crates of oranges Ellie sold
13. -4 < x < 2
14. x = -99 and x = 45
15. x = 3
questions 2, 3, 5, 6, 7, 8, 9, and 10 were incorrect
I apologize for the incorrect answers. Here are the corrected answers:
2. Yes; Tina could have won 12 games because 2x + 5 = 29.
3. 2x2 - 11x - 5y
5. 25 + 10x ≤ 75
6. a equals T minus b minus c minus d all over 4
7. 9 ≤ x ≤ 19
8. 956 hours
9. x < 2
10. x + 2 + 3x = 30
Question 1: The equation to show how many cakes Sam baked this week is 20 + 3x = 80.
Question 2: No, Tina could not have won 12 games because 2x + 5 ≠ 29.
Question 3: The simplified expression is 2x2 − 11x − 5y.
Question 4: The equation to solve for x is x equals A over 4 times y.
Question 5: The inequality to solve for the maximum number of days for which Pasion can rent the car on her budget is 25x + 10 ≤ 75.
Question 6: The equation to find how many points Tisha and her academic team need to earn in the district match, a, to advance is a = 4(T − b − c − d).
Question 7: The compound inequality to show the possible lengths of the third side of the fence is 31 ≤ x ≤ 40.
Question 8: It would take 956 hours for a rocket that can travel at 250 miles per minute to travel from Earth to the moon.
Question 9: The solution to the inequality 4x − 6 > 6x − 20 is x < 7.
Question 10: The equation to determine the lengths of Zach's and Ginny's cars is x + 2 + 3x = 30.
Question 11: The solution to the equation (2x - 20)/3 = 2x is x = -5.
Question 12: In the expression 20 + 5z, the second term represents Finn's earnings at the end of the week.
Question 13: The solution to the inequality -1 < x + 3 < 5 is -4 < x < 2.
Question 14: The solutions to the equation |(1/3)x + 9 - 3| = 21 are x = -81 and x = 45.
Question 15: The distance, in miles, between the cars is x = 3.