Expressions and Equations

Vocabulary

100

This type of math problem has no equal sign.

Expression

200

This type of math problem has an equal sign.

Equation

300

Another word for numbers used in expressions and equations

Constant

400

Another word for the letters used in expressions and equations.

Variable

500

2 types of grouping symbols that NOT including parantheses.

What are brackets, braces, absolute value bars, and/or radicals?

Vocab

100

7a + 8

8 is a _____

Constant

200

5x + 8

5 is a _______

Coefficient

300

A number, variable, or a number times a variable. 

Term

400

What are like terms?

Terms with the same variable and same exponents. 

500

Is this an equation or expression? How many terms does it have? 

5x + 3 - 2x + 2 = 20

Equation with 5 terms. 

One step equations

100

x/10 = 3

30

200

8x = 64

8

300

x - 5 =  12

17

400

x + 8  = 10

2

500

20 = x + 4

16

Expressions

100

In the following expression, what is the next step one should take towards finding he solution?
 18/3 * 4 + 7 - 5 * 2

Divide 18 by 3

200

In the expression below, what operation should be taken first:
 72/(3 + 5) - 4 * 3 + 15

Inside the parentheses, adding 3 and 5

300

In the expression below, what step is taken 3rd:

100 - (24/4 + 7) * 3

Find the product of (13) * 3

1. 24/4

2. (6+7) = 13

400

In the expression below, what step is taken 2nd:

5 * (12 - 8) + 36/(2 * 3)

Finding the quotient of 36 and (6)

1. (12-8) = (4) and (2*3) = (6)

500

Simplify the expression below:

48/6 + 5 * (9 - 4) - 13

20

Steps:

48/6 + 5 * (5) - 13

8 + 25 - 13

33 -13

20

Mixed Review

100

Samantha is planning a movie marathon for the weekend. She wants to watch x action movies and 3 more comedy movies than action movies. If she has time to watch a total of 13 movies, write an equation to represent this situation and solve for x to find out how many action movies Samantha will watch.

x = 5

x = action movies

x + (x+3) = 13

2x + 3 = 13

2x=10

x=5 movies for Samantha

200

Jake and his friends are playing a video game where they collect points on a coordinate plane. Jake starts at point (2, -3) and moves 5 units right and 4 units up. His friend Mia starts at point (-1, 2) and moves 3 units left and 5 units down. What are the coordinates of Jake's and Mia's final positions?

Jake - (2,-3) = (2+5, -3 + 4) = (7,1)

Mia - (-1,2) = (-1 + -3, 2+-5) = (-4,-3)

300

1. For a weekend bake sale, Emma is making cookies. She uses 2x cups of flour for every x cups of sugar. If she has 12 cups of flour, write an expression to represent the amount of sugar she needs. Then, solve the equation to determine how many cups of sugar Emma should use.

6 cups of sugar

x + 2x = 12

2x = 12 cups of flour

2x/2 = 12/2 so...

x = 6 cups of sugar

400

1. Carlos is creating a digital art piece on a 20 by 20 coordinate grid for his weekend art project. He draws a line from point A(−5,3) to point B(7,3), and another line from point C(−2,−4) to point D(−2,8). Calculate the length of each line segment.

Line Segment AB - 12 units

Line Segment CD - 12 units

Same Side - Subtract Absolute Values, Across the Axis - Add absolute values

absv(-5) + absv(7) = 5 + 7 = 12

absv(-4) + absv(8) = 4 + 8 = 12

500

1. Emily is saving money for a new bike. She started with 50 dollars in her piggy bank. On Saturday, she earned 25 dollars from babysitting and spent 10 dollars on ice cream. On Sunday, her grandmother gave her 30 dollars, but she spent 15 dollars on a movie ticket. How much money does Emily have in her piggy bank now? Create an expression from the scenario, and solve the equation.

80 dollars in the piggy bank

50+25+(-10)+30+(-15)

75 +(-10) + 30 + (-15)

65 + 30 +(-15)

95 + (-15)

80

80 dollars in the piggy bank