3rdQuarterExamReview
No calculator necessary. Please do not use a calculator.
Solve the following equations.
1. 3 + 8 = 14
=2
2. 5 + 2 − 10 + 3 = 14
=3
3. 2(ℎ + 3) = 30
ℎ = 12
4. (9ℎ − 3) = 11
ℎ=4
5. 3( + 4) = 3( + 4)
6. 4( + 1) = 5 + 5 − 7. 2( + 3) = 5 − 3 + 4
8. = −36
9. = 25
= ±5
10. = −125
= −5
11. = 27
=3
Answer the following questions.
12. A woman bought five buckets of chicken from the store. Later she bought five more buckets of chicken, but
this time she had a coupon for $5 off. She spent a total of $95. If you wanted to know how much each bucket of
chicken was, how would you define the variable?
%&''(''(
13. A woman bought five buckets of chicken from the store. Later she bought five more buckets of chicken, but
this time she had a coupon for $5 off. She spent a total of $95. Assuming you wanted to know how much each
bucket of chicken was, write an equation to represent this situation.
5 5 5 95
14. A woman bought five buckets of chicken from the store. Later she bought five more buckets of chicken, but
this time she had a coupon for $5 off. If she spent a total of $95 that day, how much was each bucket of chicken?
10
15. Does the following equation have infinite solutions, no solution or one solution? How do you know?
5 3 5 15
')*&+'+
16. Does the following equation have infinite solutions, no solution or one solution? How do you know?
4 3 7 3 3
')*&++&'
17. Estimate the solution to the system of equations shown on the graph.
2,4
Solve the following systems of equations.
18.
- =+2
- = 3 − 4
(3,5)
19.
= −2
- = 3 − 4
(−2, −10)
20.
+- =3
+- =7
(6,1)
21.
2 + 4- = 7
4 + 8- = 14
22.
2 − - = 8
2 − - = 10
23.
− 2- = 8
2 − - = 10
(4, −2)
24. Bob sold small and large beach umbrellas. Small ones cost $10 each and large ones cost $25 each. One
afternoon Bob sold 10 umbrellas and made $190. How many of each size umbrella did he sell?
4 ) + 6 &
25. Scotty mixed 50% acid with 100% acid and got made 10 )/ of 75% acid. How much of each type of acid did
Scotty use?
5 )/ 50% + 5 )/ 100%