Alg 1 M1 U3A - Part 1

by Gina Spencer

| 25 QuestionsNote from the author:

Algebra 1

College Prep - Part 1 of Unit 3A Assessment – Lessons 1 – 11

Simplifying Expressions & Solving Equations & Creating Equations to Solve Problems

Use the scratch paper for any work you need to do. Drawings may not be to scale. There may be more than one answer for some problems.

1

1

a^2-6=43

Equation

Expression

2

1

12x^4-7x^2+3x^4-5x^3-4x

Equation

Expression

3

1

4x-2x+7=12

Equation

Expression

4

1

5n + 60

Equation

Expression

5

2

What is the value of x in the equation x-6=12?

-18

-6

16

18

6

2

What is the solution for this equation (2x-3) = 7? x =

5

4

10

13/2

7

2

Solve the equation 7x+5=54 for x. Show work!

-42

59/7

-7

7

8

2

Solve the equation 7(x-2)+5=54 for x. Show work!

-9

5

9

11

9

2

What is the value of x in the equation 5x + 2(4 - 2x) = 0

-8

-8/3

2

8

10

2

What value of y is the solution to the equation 6(y - 2) = 4 + 2(2y + 5) = ?

-7

13

11/2

-7/6

11

2

Which equation is equivalent to 1/2(4x + 6) - 5(x - 3) = 12

-3x=9

-3x=6

-3x=24

-3x=21

12

1

Given that the interest (i) earned on an amount of money (A) is calculated using the formula i=Art, where r is the interest rate and t is the time invested, which equation that solves for A is equivalent to the formula?

irt=A

it/r = A

i/rt = A

1/irt = A

13

1

Which statement below best describes the following. Is the equation 3(2x + 6) = -12 equivalent 6x + 18 = -12?

Yes, the equations are equivalent by the Associative Property of Multiplication

Yes, the equations are equivalent by the Commutative Property of Multiplication

Yes, the equations are equivalent by the Distributive Property of Multiplication

No, the equations are not equivalent

For 14-18, match the equation to its solution(s). There are more answers than equations. One solution per equation. 2 points each

14

2

4(x+6) = 2x+ 36

x = 12

x = 14 and x = -26

x = 8 and x = -5

x = -12

x = 12 and x = -4

x = - 2/3

x = 6

No Solution

x = -17

15

2

(2x+4)/(x+2)= 4

x = 12

x = 14 and x = -26

x = 8 and x = -5

x = -12

x = 12 and x = -4

x = - 2/3

x = 6

No Solution

x = -17

16

2

(x+2)/(x-3)= 3/4

x = 12

x = 14 and x = -26

x = 8 and x = -5

x = -12

x = 12 and x = -4

x = -2/3

x = 6

No Solution

x = -17

17

2

5 - (x+3) = -10

x = 12

x = 14 and x = -26

x = 8 and x = -5

x = -12

x = 12 and x = -4

x = 2/3

x = 6

No Solution

x = -17

18

2

Which of the equations below fits the restrictions x ≠ 5 and x ≠ 2

3/(x+5)=2/(x+2)

(x-5)/3=(x+2)/2

2/(x-2)=3/(x+5)

2/(x+2)=3/(x-5)

19

4

Which of the equations below has no real solutions? Choose all that apply.

0 = (x-1)/(x-1)

3 = (x-1)/(x-1)

2x + 2 = 2 + x

3x + 1 = 5

20

2

A student solved the equation 2x/5+x/2=9/5 in three steps, as shown

Step 1: 3x/7=9/5

Step 2: 3x=63/5

Step 3: x=21/5

Which statement is an accurate interpretation of the student’s work?

The correct solution is 21/5

The student made an error in Step 1. Only fractions with common denominators can be combined.

The student made an error in Step 3. To divide both sides by 3, the right side should now have a 3 in the denominator.

x ≠ 5 and x ≠ 2 because those values are in the denominator of the fractions.

21

1

Select the expresssion that is equivalent to x^2 + 10x + 25 - x^2 - 2x + 15. Show all your work on scratch paper!

2x + 10

-2(x – 20)

(x+5) – (x-3)

(x+5) [(x+5) – (x-3)]

22

2

Is 2d(d-1)=0 the same as (2d-1)(3d-3)=0.

True

False

23

2

Is (2d-2)(d - 1/2) =0. the same as (2d-1)(3d-3)=0.

True

False

24

2

Is 3x^4-8x^2+12x^4-5x^3+2x-7x^2+3-4x equivalent to10x^4-6x^2+5x^4-3x^3+3x-11x^2+3-5x .

True

False

25

2

Is 12x^4-7x^2+3x^4-5x^3-4x-8x^2+3+2x equivalent to10x^4-6x^2+5x^4-3x^3+3x-11x^2+3-5x .

True

False

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.