| |
| |
1. |
The cost of admission to a science museum is 12a + 5c, where a represents the number of adults and c represents the number of children. How much would it cost for 2 adults and 3 children to go to the museum? |
| |
|
A. |
$27 |
B. |
$39 |
| |
|
C. |
$22 |
D. |
$46 |
| |
|
Hint |
|
| |
2. |
Rewrite 16 × 0.4 + 16 × 10 using the distributive property. |
| |
|
A. |
16(0.4 × 10) |
B. |
16 + (0.4 × 10) |
| |
|
C. |
16(0.4 + 10) |
D. |
16 + (0.4 + 10) |
| |
|
Hint |
|
| |
3. |
How could you find 5 × 17 mentally using the distributive property? |
| |
|
A. |
5 × 10 + 5 × 7 |
B. |
5 × 10 - 5 × 7 |
| |
|
C. |
5 × 10 × 5 × 7 |
D. |
5 + 10 × 5 + 7 |
| |
|
Hint |
|
| |
4. |
If Julie has x strawberries in one sack and four fewer strawberries in another sack, write an expression for how many strawberries are in the second sack. |
| |
|
A. |
x + 4 |
B. |
4 + x |
| |
|
C. |
x - 4 |
D. |
4 - x |
| |
|
Hint |
|
| |
5. |
Evaluate b3 + 6 if b = 2. |
| |
|
A. |
12 |
B. |
14 |
| |
|
C. |
15 |
D. |
512 |
| |
|
Hint |
|
| |
6. |
Solve the formula I = prt, if p = 525, r = 0.04, and t = 2. |
| |
|
A. |
21 |
B. |
420 |
| |
|
C. |
210 |
D. |
42 |
| |
|
Hint |
|
| |
7. |
The formula F = C + 32 is used to convert the temperature in degrees Celsius to degrees Fahrenheit. If the temperature outside is 18° Celsius, what is the temperature in degrees Fahrenheit? |
| |
|
A. |
13.6° F |
B. |
64.4° F |
| |
|
C. |
38.8° F |
D. |
42.0° F |
| |
|
Hint |
|
| |
8. |
Use the distributive property to rewrite 3(5 + y) without parentheses. |
| |
|
A. |
8 + y |
B. |
8 + 3y |
| |
|
C. |
15 + y |
D. |
15 + 3y |
| |
|
Hint |
|
| |
9. |
Factor the polynomial 3x + 3. |
| |
|
A. |
3(x + 3) |
B. |
3(x + 1) |
| |
|
C. |
3(x - 3) |
D. |
3(x - 1) |
| |
|
Hint |
|
| |
10. |
Using n to represent the number of blocks in each bag, write an algebraic expression for the total number of blocks. |
| |
|
 |
| |
|
A. |
3n + 3 |
B. |
4n + 3 |
| |
|
C. |
4n + 4 |
D. |
3n + 4 |
| |
|
Hint |
|
| |
11. |
Complete the flowchart by filling in the ovals. |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
12. |
Find the equation for the flowchart. |
| |
|
 |
| |
|
A. |
- 9 = 1 |
| |
|
B. |
- 9 = 1 |
| |
|
C. |
= 1 |
| |
|
D. |
- 1 = 9 |
| |
|
Hint |
|
| |
13. |
George and a group of his friends are going to a baseball game. Tickets cost $12 apiece and a program costs $5. If George goes with 5 friends, write an expression for the total amount that George and his friends spent at the game. Use p for the number of programs bought. |
| |
|
A. |
5p + 12 |
B. |
12p+ 5 |
| |
|
C. |
12p + 72 |
D. |
5p + 72 |
| |
|
Hint |
|
| |
14. |
Find an explanation for the expression s + 3. |
| |
|
A. |
If s is the number of sunny days, s + 3 is the number of sunny days in March, the third month of the year. |
| |
|
B. |
If s is the number of students in the classroom, s + 3 is the number of students after 3 new students join the class. |
| |
|
C. |
If s is the number of students in the classroom, s + 3 is the number of students after 3 students leave the class. |
| |
|
D. |
If s is the number of sunny days, s + 3 is the number of sunny days 3 years ago. |
| |
|
Hint |
|
| |
15. |
Find an explanation for the expression 5a + 3. |
| |
|
A. |
If a is the price of an anchovy pizza in dollars, 5a + 3 is the total cost of 3 anchovy pizzas with a delivery fee of $5. |
| |
|
B. |
If a is the price of an anchovy pizza in dollars, 5a + 3 is the total cost of 5 anchovy pizzas with a delivery fee of $3. |
| |
|
C. |
If a is the price of an anchovy pizza in dollars, 5a + 3 is the price of 8 anchovy pizzas. |
| |
|
D. |
If a is the price of an anchovy pizza in dollars, 5a + 3 is the total cost of 5 anchovy pizzas with a delivery fee of $8. |
| |
|
Hint |
|
| |
16. |
Using the formula for the area of a trapezoid , find A if h = 7 cm, b1 = 3 cm, and b2 = 5 cm. |
| |
|
A. |
18 cm2 |
B. |
7.5 cm2 |
| |
|
C. |
28 cm2 |
D. |
25 cm2 |
| |
|
Hint |
|
| |
17. |
Write two expressions for the total number of blocks. |
| |
|
 |
| |
|
A. |
5(n – 1), 5n – 5 |
| |
|
B. |
5(n + 5), 5n + 25 |
| |
|
C. |
5(n – 5), 5n – 25 |
| |
|
D. |
5(n + 1), 5n + 5 |
| |
|
Hint |
|
| |
18. |
Find two ways to write the rule for the table. |
| |
|
 |
| |
|
A. |
3(x + 4), 3x + 12 |
| |
|
B. |
3(x + 4), 3x + 15 |
| |
|
C. |
15x |
| |
|
D. |
3(x + 12), 3x + 36 |
| |
|
Hint |
|
| |
19. |
Rewrite 4x + 48 by inserting parentheses. |
| |
|
A. |
(4x + 12) |
| |
|
B. |
x(4 + 12) |
| |
|
C. |
4(x + 12) |
| |
|
D. |
12(4x + 4) |
| |
|
Hint |
|
| |
20. |
Factor the expression.24x2 – 54x |
| |
|
A. |
6x2 (4x – 9) |
| |
|
B. |
6(4x2 – 9x) |
| |
|
C. |
6x(4x – 9x) |
| |
|
D. |
6x(4x – 9) |
| |
|
Hint |
|
|
|