1. Write the phrase, using symbols.
s minus the product of n and 15
A) n(15 – s)
B) (s – n)•15
C) n•15 – s
D) s – n•15
2. True or False: The following is an expression.
÷15x + 7
3. Rochelle flies her plane at a constant rate of 400 miles per hour (mph) for two hours. After a refueling stop, she continues at the same rate for another t hours. Using the fact that distance is given by rate × time, write an expression for the total distance flown by Rochelle.
A) 400(2 + t) or 800 + 400t
B) 800 + t
C) 2 + 400t
D) t(2 + 400) or 2t + 400t
4. Evaluate the expression if a = –2 and b = 5.
a² + b²
A) 9
B) 49
C) 21
D) 29
5. A car rental agency charges $25.75 per day plus $0.20 per mile to rent a car. The expression 0.20x + 25.75 represents the total charges for renting a car for one day and driving it a total of x miles. Determine the total bill for renting a car for one day and driving it 135 miles.
A) $160.95
B) $3476.45
C) $52.75
D) $5.35
6. Combine the like terms.
7t² + 2t – 7t² + 5t
A) 14t² + 7t
B) –3t
C) –14t² + 7t
D) 7t
7. Combine the like terms.
–6m – (12m – 3n)
A) –12m + 3n
B) –18m – 3n
C) 6m + 3n
D) –18m + 3n
8. Add –x³ + 6x and 2x³ – 15.
A) 3x³ – 6x – 15
B) x³ – 9x
C) x³ – 21x
D) x³ + 6x – 15
9. Add 16m² – 22m and –5m² + 2m.
A) 11m² + 20m
B) –21m² – 20m
C) 11m² – 20m
D) 11m² – 24m
10. Subtract x³ + 2x² – 5 from 6x³ + 4x – 1.
A) 5x³ – 2x² + 4x + 4
B) 7x³ + 2x² + 4x – 6
C) –5x³ + 2x² – 4x – 4
D) 5x³ – 2x² + 4x – 4
11. Subtract 8x – 18 from 3x + 7.
A) 5x + 25
B) –5x – 25
C) 11x – 11
D) –5x + 25
12. Use the roster method to list the elements of the set of negative odd integers less than –5.
A) {–7, –9, –11, –13, . . .}
B) {–5, –7, –9, –11, . . .}
C) {–7, –8, –9, –10, . . .}
D) {–4, –3, –2, –1, . . .}
13. Use the roster method to list the elements of the set of positive multiples of 11.
A) {11, 33, 55, 77, . . .}
B) {–11, –22, –33, –44, . . .}
C) {11, 22, 33, 44, . . .}
D) {11, 12, 13, 14, . . .}