Quiz about Algebra Diagnostic Test

Question 1

Which describes the relationship between the two lines?

$$y\ =\ 2x\ -3\ $$

$$y=\ \frac{1}{2}x\ +\ 3$$

Accepted Answer

The lines intersect, but are not perpendicular.

Answer

The lines are parallel.

Answer

The lines are perpendicular.

Answer

The lines are the same.

Question 2

Which of the following are basic rules used for solving algebraic equations?

Accepted Answer

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

Accepted Answer

Always do the opposite operation

Answer

Negative signs can be ignored

Answer

Always start on the left side, regardless of where the variable is

Question 3

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

Accepted Answer

Subtract 7 from both sides. The solution is x = 5.

Answer

Add 7 to both sides.
The solution is x = 19.

Answer

Multiply both sides by 7 The solution is x = 84.

Question 4

Figure out what n equals in this equation:
6n + 4 = -26

Accepted Answer

n= -5

Answer

n=-6

Answer

n= 8

Answer

n= -4

Question 5

Which expression is equivalent to:
d + d + d + 3 + 2

Accepted Answer

3d + 5

Answer

d + 5

Answer

2d + 7

Answer

3d + 4

Question 6

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 7

Generate an equivalent expression using the Distributive Property:

a ( 7 + 2)

Accepted Answer

7a+2a

Answer

7a + 2

Answer

2a + 7

Question 8

-3(2c - 5)

Accepted Answer

-6c + 15

Answer

-6c - 15

Answer

6c + 15

Answer

6c - 15

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