Math Review

7th Grade Math Review

By Katie Argall

Multiple Choice

Does 7x + 3 = 10x ?

• Yes

• No

Variables, Coefficients & Constants

• A variable is a letter that represents an unknown value

• A coefficient is a number directly in front of a variable. It is being multiplied by the variable.

• A constant is a number that is not connected to any variables.

Multiple Choice

A negative number divided by a negative number equals

• A positive number

• a negative number

Poll

Which is the constant? 5x + 4

• 5

• x

• 4

Multiple Choice

A negative number divided by a positive number equals

• a positive number

• a negative number

Poll

Which is the variable? 6k - 8

• 6

• k

• 8

Multiple Choice

Solve:

• 20
• 7
• 10
• 3

Poll

Which is the coefficient? 7r + 12

• 7

• r

• 12

Multiple Choice

Choose the first step in solving the following equation.

-3y - 12 = 14

• add 3 to both sides

• add 12 to both sides

• subtract 12 from both sides

• subtract 3 from both sides

Multiple Choice

Solve for x:

14+3x=26

• x=6

• x=1

• x=4

• x=3

Multiple Select

Select all like terms with  $$6y$$  

• $$-2y$$  

• $$5y^2$$  

• 6

• $$\frac{1}{2}y$$  

• $$-12x$$  

Multiple Choice

The _______ of a circle is the distance around the circle.

• radius

• diameter

• circumference

Multiple Select

Select all the like terms with -11

• 2x

• 11

• 23

• 11y

• 99

Multiple Choice

A _______ is a line segment that goes from one edge of a circle to the other and passes through the center.

• radius

• diameter

• circumference

Multiple Choice

Combine like terms
3x + 2x + 3y - 7y

• 5x + 10y
• 5x + 4y
• 5x - 4y
• 5x -10y

Multiple Choice

A _______ is a line segment that goes from the center to the edge of a circle.

• radius

• diameter

• circumference

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 23
• 23v
• 9 + 14v
• 9v + 14

Multiple Choice

What is the radius of this circle?

• 18 in
• 36 in
• 9 in

Multiple Choice

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

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

A number subtracted by a negative number results in (ex. 4- -4=?)

• adding

• subtracting

To solve an equation you have to set out to meet one very important goal.

The variable(letter) has to be by itself on one side of the = sign and all the constants(numbers) should be on the other side

Multiple Choice

Area of a triangle is

• A= 1/2 x length x width

• A= length x width

Equations must maintain balance or they fall apart.

if we do an operation to one side of the equal sign, we must do the same operation to the other side.

Multiple Choice

A negative times a negative results in

• A positive

• A negative

The original problem is 5 + x = 3

we need that 5 to goto the other side.

The opposite operator of + 5 is - 5.

Notice how when we subtract -5 from both sides, 5-5 on the left becomes 0. this achieves our goal of getting x by itself.

Multiple Choice

A negative times a positive results in

• A positive

• A negative

notice it says, m divided by 4 on the left side, to get m by itself we use the opposite operator. multiply is the opposite of division. if we multiply both sides by 4 that will get the m by itself on the left. 

Multiple Choice

What is the equation for Circumference?

• C= $$2\pi r$$

• C= $$\pi r^2$$

Multiple Choice

What will you do to solve this equation?

X + 6 = 3

• subtract 6 from both sides

• add 6 to both sides

• subtract 3 from both sides

• add 3 to both sides

Multiple Choice

What is equation for area of circle?

• A= $$\pi r^2$$

• A= $$2\pi r$$

Multiple Choice

What will you do to solve this equation?

4x = 16

• divide both sides by 4

• multiply both sides by 4

• subtract 4 from both sides

• divide both sides by 16

Multiple Choice

What is equation for area of rectangle?

• A = length x width

• A = 1/2 x length x width

Fill in the Blank

Solve for x:

$$-5x+7=152$$   x=?

Multiple Choice

How do you solve for x on equations? Example: 2x-4 = 20

• Do the opposite of equation

• Follow PEMDAS

Fill in the Blank

Solve for x:

$$18x-10-17x+12=-4$$ x=?

Multiple Choice

If you get a percent problem what do you have to do with the percent?

• Change to a decimal and multiply

• Add the percent

• Subtract the percent

Fill in the Blank

Solve for x:

$$2x+8=3x-4$$   x=?

Multiple Choice

If you get a proportion problem, what do you normally do?

• Multiply or Divide

• Add and Subtract

Multiple Choice

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Multiple Choice

Complementary angles means

• 2 or more angles that add up to 90 degrees

• 2 or more angles that add up to 180 degrees

Multiple Choice

Solve for x: 
4x + 1 = 7x - 5

• -1
• 2
• 6/11
• 8

Multiple Choice

Supplementary means

• 2 or more angles that add up to 180 degrees

• 2 or more angles that add up to 90 degrees

Fill in the Blank

Solve for x:

$$-2x-12=3x+3$$