Terminology
The number next to a variable is called this term. For example:
3x
What is a coefficient
What is the simplified version of 3(x + 2)
3x+6
what does GEMS stand for?
Groups
Exponents/Radicals
Multiplication/Division
Subtraction/Addition
What is the difference, in numerical value, between the tenths place and tens place?
Tens is of a higher value. Tens is before the decimal.
what is three times the product of eight and a number
3(8x)
A set of like terms must have these TWO things in common.
What are exponents and variables
Distribute - (3x+1)
distribute the -1 across EVERYTHING in ()
-3x-1
In the expression below, which operation would you solve first? Explain
6-3+5
the operation on the left side will be solved first
Write a number that has a 7 in the ones place, a 9 in the ten-thousands place, and a 4 in the tenths place.
Answers will vary
9_,__7.4
write a numerical phrase to represent the expression below:
3 / 5x
three divided by the product of five and a number
Write 2 sets of terms. One set will be like terms, the other set will not
Answers will vary.
like terms: same exponent, on same variable
non-like terms: different exponent on same variable
Distribute and simplify
3(x – 2) – (4 – x)
3x-6-4+x
4x-10
Write in order, what operation you would do first
(do not solve)
26 – 4 · 22
1. exponents
2. multiplication
3. subtraction
Karina runs equal distances every day of the week. This week she ran 50 miles. How much does she run each day of the week? Round your answer to the nearest mile.
7 miles
Write an expression to model the situation. Define any variables you use.
The total number of balloons is divided among all of the kids at the birthday party.
b / k
b=balloons
k=kids at the birthday party
Simplify by combining the like terms:
4x3y+3xy3-2x3y
2x3y + 3xy3
Distribute
3x – (2x – 5)
3x-2x+5
x+5
What is the value of 5 · 32 – 3(4 + 2 · 3)?
A. 195
B. 171
C. 150
D. 15
E. -9
15
Round the number 98,123.765 to the
-nearest whole number
-the hundreds place
-the tenths
whole number = 98,764
hundreds = 98,100
tenths =98,123.8
A taxicab ride costs $2.25 plus an additional $0.75 per mile. Write an expression for the cost of a taxicab ride that is m miles long.
2.25 + 0.75m
Write a simplified expression to represent the perimeter of the triangle, in terms of y, whose side length's are y+3, 3y-4, and 8-y
P = (y + 3) + (3y – 4) + (8 – y)
P = 3y + 7
x[4(x + 2) – (3x + 1)] + 6
:)
x2 + 7x + 6
Create two different expressions using the numbers 5, 5, and 7 that result in the answer 7.
Answers vary. Ms. Molina will confirm.
My value is between ¼ and ¾ . I have three decimal places. If you round me to the nearest tenth, I am 0.6 . If you round me to the nearest hundredth, I round up. Which of the following am I?
0.314 | 0.764 | 0.562 | 0.64 |
0.598 | 0.602 | 0.657 | 0.547 |
.598
Antwaine makes $13 an hour as a carpenter and charges $20 additional per job. However, $3 each hour is paid to taxes. How much is Antwaine’s take-home pay for working x hours on one job?
10x + 20