Free Printable TN Ready Algebra 1 Review

1.

Which value(s) of x make f(x) = g(x)?

a)

x = 4 and x = 5

b)

x = 2 and x = 6

c)

x = 3 and x = 7

d)

x = 1 and x = 7

2.

Which equation has roots of $\pm$ 3?

a)

$\left(x-3\right)^2=0$

b)

$\left(x+3\right)^2=0^2$

c)

$\left(x-0\right)^2=3$

d)

$\left(x+0\right)^2=3^2$

3.

Which equation has the same solutions as $\left(x-5\right)^2=9$ ?

a)

$x^2-25=9$

b)

$x^2-5x+16=0$

c)

$x^2-10x-16=0$

d)

$x^2-10x+16=0$

4.

Consider the linear equation.
$2ax+3b=-4ax-9b$
If the solution is $x=-1$ , which statement is true about a and b?

a)

$a=b$

b)

$a=2b$

c)

$a=\frac{b}{2}$

d)

$a=6b$

5.

A town is expanding the size of a square athletic field. The equation shown determines the building cost, y, in dollars, for every foot, x, added to the width of the athletic field.
$y=\left(110.25\right)x^2$
Which equation shows an equivalent equation rearranged to determine x in terms of y?

a)

$x=10.5\sqrt{y}$

b)

$x=\frac{110.25}{\sqrt{y}}$

c)

$x=\frac{\sqrt{y}}{10.5}$

d)

$x=110.25\sqrt{y}$

6.

Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the rental.

If Larissa has $45 to spend, what is the greatest number of full hours she can rent the bicycle?

a)

1

b)

2

c)

3

d)

4

7.

Jackson paints murals on walls. In order to paint one of his murals, he needs a rectangular area that is at least 4 feet wide and 3 feet high. The width and height have to increase by the same amount of feet, x.

Which equation represents all the possible areas for the rectangular murals?

a)

$A=x^2+7x+12$ , where x is any real number

b)

$A=x^2+7x+12$ , where x is any nonnegative real number

c)

$A=2x+7$ , where x is any real number

d)

$A=2x+7$ , where x is any nonnegative real number

8.

A polynomial function contains the factors x, x - 3, and x + 1.

Which graphs could represent the polynomial function?

Select ALL that apply.

a)

b)

c)

d)

e)

9.

The spray of a fountain has a height, in feet, that can be modeled by the polynomial expression $-x^2+14x-33$ .
Which statement about the height of the spray is true?

a)

The expression $-\left(x-7\right)^2+16$ reveals a maximum height of 7 feet.

b)

The expression $-\left(x-7\right)^2+16$ reveals a maximum height of 16 feet.

c)

The expression $-\left(x-7\right)^2-16$ reveals a maximum height of 7 feet.

d)

The expression $-\left(x-7\right)^2-16$ reveals a maximum height of 16 feet.

10.

Which functions represent exponential decay? Select ALL that apply.

a)

$f\left(x\right)=\left(0.2\right)^x$

b)

$f\left(x\right)=0.2\left(2\right)^x$

c)

$f\left(x\right)=\left(2\right)^x$

d)

$f\left(x\right)=2\left(0.2\right)^x$

e)

$f\left(x\right)=2\left(2\right)^x$

11.

A recreational softball league has 118 players register for the upcoming season. Each team in the league will have a maximum of 14 players, and each player can only be assigned to one team.

Which inequality can be used to calculate the minimum total number of teams, t, that the recreational softball league must have to assign all 118 players?

a)

$118t\le14$

b)

$118t\ge14$

c)

$14t\ge118$

d)

$14t\le118$

12.

In order to find the solution to the equation $3x-4=\left|x+8\right|$ , a student graphs the functions $f\left(x\right)=3x-4$ and $g\left(x\right)=\left|x+8\right|$ . Choose the solution(s) to the equation.

a)

-3 only

b)

-3 and 6

c)

3 and -6

d)

6 only

13.

A student receives a gift card to purchase songs for an online music account. Each song costs the same amount. The equation $y=100-1.99x$ represents the balance remaining, y, on the gift card after purchasing x songs.
Which statement is true?

a)

The beginning balance of the gift card is $100, and each song cost $1.99.

b)

The beginning balance of the gift card is $100, and x songs cost $1.99.

c)

The beginning balance of the gift card is $199, and each song cost $1.00.

d)

The beginning balance of the gift card is $199, and x songs cost $1.00.

TN Ready Algebra 1 Review

Total questions: 13

Worksheet time: 1hrs 5mins

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