# Algebra I Mid-Year Review

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## Algebra I Mid-Year Review Answer Key

1.

Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its converse?

- If you grow, then you will eat all of your vegetables.
- If you do not eat all of your vegetables, then you will not grow.
- If you do not grow, then you will not eat all of your vegetables.

2.

What is 0.000062 in scientific notation?

- [math]6.2 xx 10^5[/math]
- [math]6.2 xx 10^-4[/math]
- [math]6.2 xx 10^-5[/math]
- [math]6.2 xx 10^4[/math]

3.

Which variable expression represents the following phrase?

a number raised to the ninth power

a number raised to the ninth power

- [math]9n[/math]
- [math]9^n[/math]
- [math]n^9[/math]
- [math]9/n[/math]

4.

Simplify:

[math]b^5*b^4*b^2[/math]

[math]b^5*b^4*b^2[/math]

- [math]b^10[/math]
- [math]b^40[/math]
- [math]b^11[/math]
- [math]b^12[/math]

5.

Perform the indicated operation and simplify your answer.

[math](3x^2y^3)^3[/math]

[math](3x^2y^3)^3[/math]

- [math]27x^6y^9[/math]
- [math]27x^5y^6[/math]
- [math]9x^6y^4[/math]
- [math]9x^5y^6[/math]

6.

Reduce:

[math]sqrt(40x^3)[/math]

[math]sqrt(40x^3)[/math]

- [math]2xsqrt(10x)[/math]
- [math]2sqrt(10x^3)[/math]
- [math]xsqrt(40x)[/math]
- [math]10xsqrt(2x)[/math]

7.

[math](sqrt7)^2 - 3^2[/math]

- [math]-2[/math]
- [math]16[/math]
- [math]52[/math]
- [math]-16[/math]

8.

Solve the inequality.

[math]y/-2 + 3 < 5[/math]

[math]y/-2 + 3 < 5[/math]

- y < 4
- y >-4
- y< -4
- y >4

9.

3 times the quantity [math]m[/math] minus 7

- [math]3(m-7)[/math]
- [math]3 xx m-7[/math]
- [math]3-m[/math]
- [math]3 xx m7[/math]

10.

To solve the following equation, [math]7x - 2= 12[/math], which of the choices below is a correct method to find the value of x?

- Add 7 to both sides, then multiply by 2.
- Add 2 to both sides, then multiply by 7.
- Add 7 to both sides, then divide by 2.
- Add 2 to both sides, then divide by 7.

11.

What is the solution of [math]m/4-3=7[/math]?

- 25
- 15
- 40
- 12

12.

If [math]a = -5[/math] and [math]b=6[/math], which expression has a value of 150?

- [math]5ab[/math]
- [math]a^2 b[/math]
- [math]-ab^2[/math]
- [math]5a^2 b[/math]

13.

Jacob is saving for a new bicycle which costs $175. He has already saved $35. His goal is to have enough money saved in six weeks to pay for the bicycle. Let d represent the money he will save per week. Which equation represents how much money he needs to save each week to meet his goal?

- [math]35+6d=175[/math]
- [math]35+12d=175[/math]
- [math]6(35+2d)=175[/math]
- [math]2(35+6d)=175[/math]

14.

State the degree and name of the expression.

[math]4x^4 - 5x^2 +7[/math]

[math]4x^4 - 5x^2 +7[/math]

- quadratic binomial
- quartic binomial
- quadratic trinomial
- quartic trinomial

15.

Which of the following equations is in standard form?

- 2x = 7
- -3x + 2y = 10
- y - 3 = x
- y + 5 = 4 (x - 4)

16.

In the linear function y = mx + b, what does the b value represent?

- x - intercept
- y - intercept
- slope
- rate of change

17.

Find the equation for a line with [math]m=3 and b=1[/math].

- [math]y=x + 3 [/math]
- [math]y =3x + 1[/math]
- [math]y=4x[/math]
- [math]y=x + 4[/math]

18.

Write the following equation in y = mx + b form.

[math]8x + 2y = -14[/math]

[math]8x + 2y = -14[/math]

- [math]y = -4x - 7[/math]
- [math]y = 8x - 14[/math]
- [math]y = 4x -14[/math]
- [math]y = -8x - 7[/math]

19.

If [math]m=5[/math], evaluate [math]m^18/m^11[/math].

- 78,125

20.

In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth graders decreased by 10%. The 2012 eighth grade class increased in size by 10% from 2011. How many eighth grade students were enrolled at Elmbrook Middle School in 2012?

- 99

21.

Solve the inequality and graph the solution.

[math]2x + 5 > 22[/math]

[math]2x + 5 > 22[/math]

- x > 17/2

22.

What is the slope of this line?

y = 3x + 8

y = 3x + 8

- 3

23.

Write the equation of the line through the points (1, -3), (3, 3).

- y = 3x -6

24.

Four friends are planning to play 18 holes of golf. Two of them need to rent clubs at $5 per set. Total cart rental is $10. The total cost of the golfing outing, including green fees, is $92.

a. Write an equation to represent the total cost of the golf outing.

b. How much did the friends pay in green fees?

a. Write an equation to represent the total cost of the golf outing.

b. How much did the friends pay in green fees?

- a. [math]2(5)+10+g=92[/math]

b. $72

25.

Lauren is traveling 60 miles per hour. An equation, a table, and a graph can be used to determine how far Lauren travels in a specific amount of time.

-Write an equation to represent the relationship, where distance, d, is a function of time, t.

-Make a table to represent the time it takes Lauren to travel the first four hours.

-Then make a graph, where time is along the x-axis and distance along the y-axis. (Don't forget to label.)

-Which of the representations that you have made (equation, table, or graph) would be the most accurate way to find how far Lauren travels in 3 and 1/4 hours?

-Using that method, find the distance Lauren traveled in 3 and 1/4 hours.

-Write an equation to represent the relationship, where distance, d, is a function of time, t.

-Make a table to represent the time it takes Lauren to travel the first four hours.

-Then make a graph, where time is along the x-axis and distance along the y-axis. (Don't forget to label.)

-Which of the representations that you have made (equation, table, or graph) would be the most accurate way to find how far Lauren travels in 3 and 1/4 hours?

-Using that method, find the distance Lauren traveled in 3 and 1/4 hours.

- d=60t
t d 1 60 2 120 3 180 4 240

(see graph)

Substitute into equation

195 miles

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