Quiz about Algebra EOC Review 2023 Part 1

Question 1

Look at the radical:

$$-8\sqrt[]{726}$$

What is the rewritten form of the radical? (make sure you can do this question with and without a calculator)

Accepted Answer

$$-88\sqrt[]{6}$$

Answer

$$-90.75$$

Answer

$$-986\sqrt[]{6}$$

Answer

$$-2,904$$

Question 2

Look at the expression:

$$2\sqrt[]{8} imes\sqrt[]{20}$$

Which of the following is equivalent to this expression? (make sure you can do this problem with and without the calculator)

Accepted Answer

$$8\sqrt[]{10}$$

Answer

$$2\sqrt[]{28}$$

Answer

$$5$$

Answer

$$32\sqrt[]{10}$$

Question 3

Which sum is rational?

Accepted Answer

$$\sqrt[]{25}+1.75$$

Answer

$$\pi+18$$

Answer

$$\sqrt[]{3}+5.5$$

Answer

$$\pi+\sqrt[]{2}$$

Question 4

Which product is irrational?

Accepted Answer

$$\sqrt[]{10}\cdot\sqrt[]{8}$$

Answer

$$\sqrt[]{2}\cdot\sqrt[]{50}$$

Answer

$$\sqrt[]{64}\cdot\sqrt[]{4}$$

Answer

$$\sqrt[]{9}\cdot\sqrt[]{49}$$

Question 5

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?

Accepted Answer

3,200 cm

Answer

824 cm

Answer

1,600 cm

Answer

2,000 cm

Question 6

Jill swam 200 meters in 2 minutes 42 seconds. If each lap is 50 meters long, which is MOST LIKELY to be her time, in seconds, per lap?

Accepted Answer

40 seconds

Answer

32 seconds

Answer

48 seconds

Answer

60 seconds

Question 7

In which expression is the coefficient of the term "n" equal to -1?

Accepted Answer

$$-2n^2-n+5$$

Answer

$$3n^2+4n-1$$

Answer

$$-n^2+5n+4$$

Answer

$$4n^2+n-5$$

Question 8

The expression $$s^2$$ is used to calculate the area of a square, where $$s$$ is the side length of the square. What does the expression $$\left(8x\right)^2$$ represent?

Accepted Answer

the area of a square with a side length of 8x

Answer

the area of a square with a side length of 8

Answer

the area of a square with a side length of 16

Answer

the area of a square with a side length of 4x

Question 9

What is the product of $$7x-4$$ and $$8x+5$$ ?

Accepted Answer

$$56x^2+3x-20$$

Answer

$$15x+1$$

Answer

$$30x+2$$

Answer

$$56x^2-3x+20$$

Question 10

What is the perimeter, in units, of the model?

Accepted Answer

$$50x+11$$ units

Answer

$$32x+12$$ units

Answer

$$46x+25$$ units

Answer

$$64x+24$$ units

Question 11

This equation can be used to find $$h$$ , the number of hours it will take Flo and Bryan to mow their lawn.

$$\frac{h}{3}+\frac{h}{6}=1$$

How many hours will it take them to mow their lawn?

Accepted Answer

2 hours

Answer

6 hours

Answer

3 hours

Answer

1 hour

Question 12

What is $$m$$ , the distance between the two communities?

Accepted Answer

10 miles

Answer

0.5 miles

Answer

5 miles

Answer

15 miles

Question 13

For what values of x is the inequality,

$$\frac{2}{3}+\frac{x}{3}>1$$ , true?

Accepted Answer

$$x>1$$

Answer

$$x<1$$

Answer

$$x<5$$

Answer

$$x>5$$

Question 14

Which step is the result of combining like terms?

Accepted Answer

Step 2

Answer

Step 1

Answer

Step 3

Answer

Step 4

Question 15

Which point appears to be a solution of the equations of both lines?

Accepted Answer

$$\left(3,1\right)$$

Answer

$$\left(0,-2\right)$$

Answer

$$\left(0,4\right)$$

Answer

$$\left(2,0\right)$$

Question 16

Where do the lines intersect?

Accepted Answer

(2, 3)

Answer

(1, 1)

Answer

(3, 5)

Answer

(3,2)

Question 17

Which ordered pair is a solution of

$$3y+2=2x-5$$ ?

Accepted Answer

$$\left(5,1\right)$$

Answer

$$\left(-5,\ 2\right)$$

Answer

$$\left(0,-5\right)$$

Answer

$$\left(7,5\right)$$

Question 18

A manager is comparing the cost of buying baseball caps from two different companies.

*Company X charges a $50 fee plus $7 per baseball cap

*Company Y charges a $30 fee plus $9 per baseball cap

For what number of baseball caps will the cost be the same at both companies?

Accepted Answer

10

Answer

20

Answer

40

Answer

100

Question 19

A shop sells one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5. If 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?

Accepted Answer

6

Answer

3

Answer

9

Answer

18

Question 20

Which graph represents a system of linear equations that has multiple common coordinate pairs?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 21

Which function represents the sequence?

Accepted Answer

$$f\left(n\right)=7n-4$$

Answer

$$f\left(n\right)=n+3$$

Answer

$$f\left(n\right)=3n+7$$

Answer

$$f\left(n\right)=n+7$$

Question 22

Which function represents the sequence?

Accepted Answer

$$A_n=A_{\left(n-1\right)}+2$$

Answer

$$A_n=A_{\left(n-1\right)}+1$$

Answer

$$A_n=2A_{\left(n-1\right)}-1$$

Answer

$$A_n=2A_{\left(n-1\right)}-3$$

Question 23

Which function represents the sequence that represents the pattern?

Accepted Answer

$$A_n=A_{\left(n-1\right)}+3$$

Answer

$$A_n=A_{\left(n-1\right)}-3$$

Answer

$$A_n=3A_{\left(n-1\right)}-3$$

Answer

$$A_n=3A_{\left(n-1\right)}+3$$

Question 24

Which table is modeled in the table?

Accepted Answer

$$f\left(x\right)=3x+5$$

Answer

$$f\left(x\right)=x+7$$

Answer

$$f\left(x\right)=x+9$$

Answer

$$f\left(x\right)=2x+5$$

Question 25

Which explicit formula describes the pattern in the table?

Accepted Answer

$$C=3.14 imes d$$

Answer

$$d=3.14 imes C$$

Answer

$$3.14 imes C=d$$

Answer

$$31.4 imes10=C$$

Question 26

If $$f\left(12\right)=4\left(12\right)\ -\ 20$$ , which function gives f(x)?

Accepted Answer

$$f\left(x\right)=4x-20$$

Answer

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

Answer

$$f\left(x\right)=12x$$

Answer

$$f\left(x\right)=12x\ -\ 20$$

Question 27

A wild horse runs at a rate of 8 miles an hour for 6 hours. Let y be the distance, in miles, the horse travels for a given amount of time, x, in hours. This situation can be modeled by a function.

Which of these describes the domain of the function?

Accepted Answer

$$0\le x\le6$$

Answer

$$0\le y\le6$$

Answer

$$0\le x\le48$$

Answer

$$0\le y\le48$$

Question 28

To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which graph models the cost of renting a canoe?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 29

If Juan does not read any books before day 4 and he starts reading at the same rate as Patti for the rest of the month, how many books will he have read by day 12?

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 30

Which of these shows the complete factorization of $$6x^2y^2-9xy-42$$ ?

Accepted Answer

$$3\left(2xy-7\right)\left(xy+2\right)$$

Answer

$$3\left(2xy^2-7\right)\left(xy^2+2\right)$$

Answer

$$\left(3xy+6\right)\left(2xy-7\right)$$

Answer

$$\left(3xy^2+6\right)\left(2xy^2-7\right)$$

Question 31

Which of these is the result of completing the square for the expression $$x^2+8x-30$$ ?

Accepted Answer

$$\left(x+4\right)^2-46$$

Answer

$$\left(x+4\right)^2-30$$

Answer

$$\left(x+8\right)^2-30$$

Answer

$$\left(x+8\right)^2-94$$

Question 32

What is the vertex of the graph of $$f\left(x\right)=x^2+10x-9$$ ?

Accepted Answer

$$\left(-5,-34\right)$$

Answer

$$\left(5,66\right)$$

Answer

$$\left(5,-9\right)$$

Answer

$$\left(-5,-9\right)$$

Question 33

Which expression is equivalent to $$121x^2-64y^2$$ ?

Accepted Answer

$$\left(11x-8y\right)\left(11x+8y\right)$$

Answer

$$\left(11x-16y\right)\left(11x+16y\right)$$

Answer

$$\left(11x-16y\right)\left(11x-16y\right)$$

Answer

$$\left(11x+8y\right)\left(11x+8y\right)$$

Question 34

What is a common factor for the expression $$24x^2+16x+144$$ ?

Accepted Answer

$$3x^2+2x+18$$

Answer

16

Answer

8x

Answer

$$8\left(x-2\right)\left(3x^2+9\right)$$

Question 35

What are the zeros of the function represented by the quadratic expression $$2x^2+x-3$$ ?

Accepted Answer

$$x=-\frac{3}{2}\ and\ x=1$$

Answer

$$x=-\frac{2}{3}\ and\ x=1$$

Answer

$$x=\frac{2}{3}\ and\ x=-1$$

Answer

$$x=-\frac{3}{2}\ and\ x=-1$$

Question 36

The expression $$-x^2+70x-600$$ represents a company's profit for selling x items. For which number(s) of items sold is the company's profit equal to 0?

Accepted Answer

10 items and 60 items

Answer

0 items

Answer

35 items

Answer

20 items and 30 items

Question 37

A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has a uniform width, and the area covered by the garden and the walkway is 192 square feet. What is the width of the walkway?

Accepted Answer

2 feet

Answer

3.5 feet

Answer

4 feet

Answer

6 feet

Question 38

The formula for the area of a circle is $$A\ =\ \pi r^2$$ . Which equation shows the formula in terms of r?

Accepted Answer

$$r=\sqrt[]{\frac{A}{\pi}}$$

Answer

$$r=\frac{2A}{\pi}$$

Answer

$$r=\frac{\sqrt[]{A}}{\pi}$$

Answer

$$r=\frac{A}{2\pi}$$

Algebra EOC Review 2023 Part 1

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics