algebra quick help please 10 points?
Estimating Solutions
1.) Solve the equation. Round the answer to the nearest tenth.
3.2x = 4.6
A.x ≈ 14.7
B.x ≈ 1.3
C.x ≈ 1.5
D.x ≈ 1.4
2.) Solve the equation. Round the answer to the nearest tenth.
1.26x + 2.16 = 7.71
A.4.3
B.9.6
C.4.5
D.4.4
3.) Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer?
6.2x + 1.2 = 8.9
A.1.3
B.1.4
C.1.6
D.1.7
4.) Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer?
6.15(x – 8.86) = 21.83
A.12.8
B.12.7
C.12.6
D.11.7
5.) Which estimate is most reasonable?
Michaela purchases a box of cereal for $3.95, chicken for $5.99, orange juice for $2.10, and a loaf of bread for $1.05. She has $15 with her. About how much change should she expect to receive?
A.$4
B.$1
C.$2
D.$3
Cost Problems
1.) Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they weighed 3.8 pounds, and cost $5.84.
Let a represent the number of pounds of apples Troy purchases.
Which expression represents the number of pounds of bananas he purchases?
A. a + 3.8
B. 3.8 – a
C. a – 3.8
D. 3.8a
2.) Raisins sell for $3.50 per pound, and granola sells for $5.90 per pound. Terri bought some raisins and some granola. The total weight was 2.1 pounds and cost $8.79.
Let p represent the number of pounds of raisins.
Which equation represents the situation described?
A. –2.4p + 12.39 = 8.79
B. –2.4p + 8.79 = 12.39
C. 3.5p + 5.9 = 8.79
D. 3.5p + 8.79 = 5.9
3.) Raisins sell for $3.50 per pound, and granola sells for $5.90 per pound. Terri bought some raisins and some granola. The total weight was 2.1 pounds and cost $8.79.
How many pounds of raisins and how many pounds of granola did Terri buy?
A. 0.6 pounds of raisins; 1.5 pounds of granola
B. 1.1 pounds of raisins; 1 pound of granola
C. 1 pound of raisins; 1.1 pounds of granola
D. 1.5 pounds of raisins; 0.6 pounds of granola
4.) Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays her $13 per hour. Her cashier job pays her $9.25 per hour. In one week, Melania worked 38 hours. She earned a total of $434.
Let c represent the number of hours that Melania works as an office clerk. Which equation can be used to find how many hours Melania worked in both jobs?
A. 13c + 9.25(c – 38) = 434
B. 13c + 9.25(38 – c) = 434
C. 13c + 9.25(434 – c) = 38
D. 9.25c + 13(38 – c) = 434
5.) Soren has two jobs. During the day he works as an office clerk, and in the evening he works as a cashier. His office job pays him $11 per hour. His cashier job pays him $8.75 per hour. In one week, Soren worked 46 hours. He earned a total of $470.
How many hours did Soren work in each job?
A.Office clerk: 16 hours; cashier: 30 hours
B.Office clerk: 20 hours; cashier: 26 hours
C.Office clerk: 30 hours; cashier: 16 hours
D.Office clerk: 31 hours; cashier: 15 hours
Comments
1. b 2. d 3. a 4. c 5. c
1. b 2. c 3. d 4. c 5. c