7a + 8
8 is a _____
Constant
x/10 = 3
30
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
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
5x + 8
5 is a _______
Coefficient
8x = 64
8
In the expression below, what operation should be taken first:
72/(3 + 5) - 4 * 3 + 15
Inside the parentheses, adding 3 and 5
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)
A number, variable, or a number times a variable.
Term
x - 5 = 12
17
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
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
What are like terms?
Terms with the same variable and same exponents.
x + 8 = 10
2
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)
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 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
2 types of grouping symbols that NOT including parantheses.
What are brackets, braces, absolute value bars, and/or radicals?
Is this an equation or expression? How many terms does it have?
5x + 3 - 2x + 2 = 20
20 = x + 4
Simplify the expression below:
48/6 + 5 * (9 - 4) - 13
20
Steps:
48/6 + 5 * (5) - 13
8 + 25 - 13
33 -13
20
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