Quiz about Regents Algebra I Practice Questions

Question 1

Given $$f\left(x\right)=3x-5$$ , which statement is true?

Accepted Answer

$$f\left(3\right)=4$$

Answer

$$f\left(0\right)=0$$

Answer

$$f\left(4\right)=3$$

Answer

$$f\left(5\right)=0$$

Question 2

Which expression is equivalent to: $$x^2+5x-6$$ ?

Accepted Answer

$$\left(x+6\right)\left(x-1\right)$$

Answer

$$\left(x+3\right)\left(x-2\right)$$

Answer

$$\left(x+2\right)\left(x-3\right)$$

Answer

$$\left(x-6\right)\left(x+1\right)$$

Question 3

Peter has $100 to spend on drinks for his party. Bottles of lemonade cost $2 each, and juice costs $0.50 each. If $$x$$ is the number of bottles of lemonade and $$y$$ is number of juice boxes, which inequality models this situaiton?

Accepted Answer

$$2x+0.50y\le100$$

Answer

$$0.50x+2y\le100$$

Answer

$$0.50x+2y\ge100$$

Answer

$$2x+0.50y\ge100$$

Question 4

Which domain is the most appropriate for a function that represents the number of items $$f\left(x\right)$$ , placed into a laundry basket each day, $$x$$ , for the month of February?

Accepted Answer

whole numbers

Answer

integers

Answer

rational numbers

Answer

irrational numbers

Question 5

What is the solution to $$\frac{3}{2}b+5<17$$ ?

Accepted Answer

$$b<8$$

Answer

$$b>8$$

Answer

$$b<\frac{44}{3}$$

Answer

$$b>18$$

Question 6

Which of the following tables represents an exponential relationship?

Accepted Answer

Table 3

Answer

Table 1

Answer

Table 2

Answer

Table 4

Question 7

Which expression is NOT equivalent to: $$\left(5^{2x}\right)^3$$ ?

Accepted Answer

$$\left(5^5\right)^x$$

Answer

$$\left(5^x\right)^6$$

Answer

$$\left(5^{3x}\right)^2$$

Answer

$$\left(5^2\right)^{3x}$$

Question 8

Which relation is a function?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 9

The formula $$Ax+By=C$$ represents the equation of a line in standard form. Which equation represents $$y$$ in terms of $$A,\ B,\ C$$ and $$x$$ ?

Accepted Answer

$$\frac{C-Ax}{B}$$

Answer

$$\frac{C-A}{Bx}$$

Answer

$$\frac{C-A}{x+B}$$

Answer

$$\frac{C-B}{Ax}$$

Question 10

Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, $$d$$ . Which equation could be used to find the number of dimes he has?

Accepted Answer

$$0.10d\ +0.05\left(2d+5\right)=1.45$$

Answer

$$0.10\left(2d+5\right)+0.05d=1.45$$

Answer

$$d+\left(2d+5\right)=1.45$$

Answer

$$\left(d-5\right)+2d=1.45$$

Question 11

The first term in a sequence is 5 and the fifth term is 17. What is the common difference?

Accepted Answer

3

Answer

2.4

Answer

12

Answer

4

Question 12

The expression $$\left(m-3\right)^2$$ is equivalent to:

Accepted Answer

$$m^2-6m+9$$

Answer

$$m^2+9$$

Answer

$$m^2-9$$

Answer

$$m^2-6m-9$$

Question 13

Based on the following scenario, which students are correct?

Accepted Answer

All three of them

Answer

Andrea and Bill only

Answer

Bill and Christine only

Answer

Andrea and Christine only

Question 14

What is the value of $$a_4$$ given the following recursively defined formula?

Accepted Answer

76

Answer

-107

Answer

-95

Answer

55

Question 15

What are the domain and range of the given function?

Accepted Answer

The domain is $$\left(-\infty,\infty\right)$$ and the range is $$\left(-\infty,3\right)$$

Answer

The domain is $$\left(-\infty,3\right)$$ , the range is $$\left(-\infty,3\right)$$

Answer

Both the domain and range are $$\left(-\infty,\infty\right)$$

Answer

The domain is $$\left[-3,7\right]$$ , and the range is 3

Question 16

Which linear equation represents a line that passes through the point $$\left(-3,\ -8\right)$$ ?

Accepted Answer

$$y=2x-2$$

Answer

$$y=2x-8$$

Answer

$$y=2x+13$$

Answer

$$y=2x-14$$

Question 17

The expression $$\left(5x^2-x+4\right)-3\left(x^2-x-2\right)$$ is equivalent to?

Accepted Answer

$$2x^2+2x+10$$

Answer

$$2x^2-2x+2$$

Answer

$$2x^2-2x^2+2$$

Answer

$$2x^4+2x^2+10$$

Question 18

If $$g\left(x\right)=-x^2-x+5,\ $$ then $$g\left(-4\right)$$ is equal to?

Accepted Answer

$$-7$$

Answer

$$-15$$

Answer

$$17$$

Answer

$$25$$

Question 19

The formula for the area of the trapezoid is given by the attached image. The height, $$h$$ , of the trapezoid may be expressed as:

Accepted Answer

$$\frac{2A}{b_1+b_2}$$

Answer

$$2A-b_1-b_2$$

Answer

$$\frac{2A-b_1}{b_2}$$

Answer

$$\frac{1}{2}A-b_1-b_2$$

Regents Algebra I Practice Questions

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