Download Algebra 1 Name: 2.1 – 2.4 HW Review Period: 1. Translate the

Algebra 1
Name:
2.1 – 2.4 HW Review
1. Translate the sentence into an equation and then solve.
a)
The product of two and a number increased by
b)
four is the same as 12.
Period:
Five plus the quotient of a number and 1 is
equal to eight.
2. Adam is on the track & cross country team and he runs 5 miles each day. His coach will give him a prize if
he logs 200 miles. How many days will it take Adam to earn his prize?
3. Carla bought a pair of jeans that was its original price. She also had a $5 coupon for the purchase of any
item. After using the coupon, Carla paid $40 for the jeans before taxes. What was the original price of the pair
of jeans? Write an equation for the problem. Then solve the equation.
Equation:
Solution:
4. Translate the sentence into a formula: “The perimeter is equal to the sum of twice the length and twice the
width.”
5. Using the formula above, find the width if you know the perimeter is 14 feet and the length is 3 feet.
6. Translate the equation into a verbal sentence. Then solve the equation.
6
b) 4
3
13
a)
Solve the equation. Write “no solution” or “all solutions” if necessary.
3 2
8. 4
2
2 5
7.
9. 4 4
4
10. 15
12.
3
11
12
11. 8
12
4 3
2
10
16
7
13. Drew has saved three times the number of bottle caps that Liz has saved plus 2. The number of bottle caps
Drew saved is also seven times the difference of the number of bottle caps and 10 that Liz has saved. Write and
solve an equation to find the number of bottle caps they each have saved.
Equation:
L=
Liz has
bottle caps
Drew has
bottle caps
14. Find the value of x so the rectangles have the same area.
x 15 x + 3
10