Algebra
Regents
Review
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100

What property is shown in the following equation?

3 + 2 = 2 + 3

What is the commutative property?

100

If f(x)= 3x + 2 evaluate f(-5).

What is -13?

100

State the slope in the following line.

2y=3x+5

What is 3/2?

100

Solve for x.

-2(x-10) = 30

What is x = -5?

100

What is the degree of the polynomial 2x + x3+ 5x2?

3

200

Solve the equation p(q+r) = 1 for q

What is q = (1 - pr)/p

200

Solve for x.

5x - 8 = 2x + 1

What is x = 3?

200

If f(x) = 3x2, find the value of f(-4).

What is 48?

200

What property is shown in the following equation?

(3 + x) + y = 3 + (x + y)

What is associate property?

200

What is the solution to 2 + 3(2a + 1) = 3(a + 2)?

a=1/3

300

At the market, Grace bought a bunch of bananas for $0.35 per pound and a frozen pizza for $4.99. The total for Grace’s purchase was $6.04 without tax. How many pounds of bananas did Grace buy?

What is 3 pounds?

300

What is the constant term in the following:

3x2+5x4-4+6x

-4

300

6 times a certain number increased by 14 is equal to 2. Determine the number. 

What is -2?

300
Find the solution to the following inequality.


-4x + 9 < -3

What is x > 3?

300

1)

400

Solve the equation for x:

-2.4(x+1.4) = 6.8x - 22.68

x=2.1

400

The number of fish in a pond is eight more than the number of frogs. The total number of fish and frogs in the pond is at least 20. If x represents the number of frogs, which inequality can be used to represent this situation?

1) x + 8x ≥ 20                          3) x + 8x ≤ 20

2) 2x + 8 ≥ 20                          4) 2x + 8 ≤ 20

2) 2x + 8 ≥ 20

400

                                                                 

8/7

400

State the y-intercept in the following line.

3x + 4y = 16

What is 4?

400

Simplify 2x(x − 4) − 3(x + 5) 

2x2-11x-15

500

Rachel’s age is represented by x. Monica’s age is 4 less than six times Rachel’s age. Write an expression to show Monica's age.

6x-4

500

1)

500

Alex had $1.70 in nickels and dimes on his desk. There were 25 coins in all. Write a system of equations that could be used to determine both the number of nickels, n, and the number of dimes, d, that Alex had. Use your system of equations to algebraically determine both the number of nickels and the number of dimes that he had.

n+d=25

.05n + .1d = 1.70


n=16,  d=9

500

We have two consecutive integers whose sum is 25.

What are the two integers?

What is 12 and 13?

500

-2(3x2 - 4x + 5) - (-6x2 - x + 2) =

9x-12

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