Algebra I SOL Review
Expressions & Operations
Name ________________________
1.
Based on the zeros, which best represents the graphed function?
a.
𝑦 = (𝑥 − 3)(2𝑥 + 2)
b. 𝑦 = (2𝑥 + 6)(𝑥 + 1)
c.
𝑦 = 2(𝑥 + 3)(𝑥 − 1)
d. 𝑦 = 2(𝑥 − 3)(𝑥 − 1)
2. Travis would like to buy some toys to donate to charity. He plans to buy 9 dolls at d dollars each,
2 toy cars at c dollars each, and 3 train sets at t dollars each. Which expression represents the
total cost, in dollars, of these items that Travis wants to buy?
a. 9𝑐 + 2𝑡 + 3𝑑
b. 9𝑑 − 2𝑐 − 3𝑡
c. 9𝑑 + 2𝑐 + 3𝑡
d. 9𝑐 − 2𝑡 − 3𝑑
3. Which expression is equivalent to
18𝑐 8 𝑑9
9𝑐 3 𝑑6
? Assume the denominator does not equal zero.
a.
2𝑐 5 𝑑3
b. 9𝑐 5 𝑑 3
c.
2𝑐11 𝑑15
d. 9𝑐11 𝑑15
Algebra I SOL Review
Expressions & Operations
Name ________________________
4. Find the factors of this polynomial:
4𝑥 2 − 2𝑥 − 2
5.
6. What is √18 written in simplest radical form?
Algebra I SOL Review
Expressions & Operations
Name ________________________
7. Which binomial is a factor of 𝑐 2 − 12𝑐 + 32 ?
a. 𝑐 − 12
b. 𝑐 − 8
c. 𝑐 − 2
d. 𝑐 − 1
2
8. What is the value of this expression when 𝑥 = 3 ?
𝑥 2 + 3𝑥 − 2
9. Which expression is equivalent to (3𝑥 −4 )²(5𝑥 −2 )?
a.
b.
30
𝑥 10
45
𝑥 10
b. 30𝑥 14
d. 45𝑥 14
10. Which polynomial is equivalent to (18𝑛2 − 9𝑛 + 1) ÷ (3𝑛 − 1) ? Assume the divisor is not equal.
a.
6𝑛 − 1
b. 6𝑛 + 1
c.
6𝑛2 − 3
d. 18𝑛2 − 3
Algebra I SOL Review
Expressions & Operations
Name ________________________
11. What is the value of this expression when 𝑎 = 64 𝑎𝑛𝑑 𝑏 = −5 ?
3
−2 √𝑎 + 𝑏 2
12. When 𝑛 > 0, which expression is equivalent to √42𝑛9 in simplest form?
a.
𝑛3 √42
b. 𝑛4 √42𝑛
c.
6𝑛3 √7
d. 6𝑛4 √7𝑛
13. Which expression represents four less than half a number, 𝑛 ?
a.
4− 𝑛
1
b.
1
c.
1
d.
1
2
2
(4 − 𝑛)
14. What are the factors of 𝑥 2 − 𝑥 − 6 ?
2
2
𝑛−4
(𝑛 − 4)
Algebra I SOL Review
Expressions & Operations
Name ________________________
15. Identify each expression that is in simplest radical form.
a.
𝑥√50𝑦
b. 64√𝑥
c.
7𝑥 2 𝑦√2𝑥𝑦
d. √12𝑥3 𝑦4
1
1
6
8
16. Which expression is equivalent to (30𝑥 − 24𝑦) − (32𝑥 − 16𝑦)?
a.
𝑥 − 6𝑦
b. 𝑥 − 2𝑦
c.
2𝑥 − 4𝑦
d. 9𝑥 − 6𝑦
17. What is
3
√48 in simplest form?
18. What is √128 in simplest form?
Algebra I SOL Review
Expressions & Operations
Name ________________________
19. Which polynomial is equivalent to this expression if 𝑛 ≠ −1?
3 + 𝑛 − 2𝑛2
1+𝑛
a.
2𝑛 − 3
b. 3 − 2𝑛
c.
3 − 2𝑛2
d. 4 − 2𝑛2
20. Which is a factor of 2𝑛2 − 5𝑛 − 42 ?
a.
2𝑛 − 7
b. 2𝑛 − 6
c.
𝑛−7
d. 𝑛 − 6
21. Simplify
𝑎12 𝑏2
𝑎3 𝑏 6
22. Evaluate the value of this expression when 𝑛 = −15.
−2|𝑛 + 6|