Write the following numerical expression as a word phrase.
12 + 4
The sum of 12 and 4
12 plus 4
12 increased by 4
4 more than 12
4 added to 12
Which of these expressions are algebraic expressions?
A. 10(140÷35)
B. 17xy
C. 90y−25
D. 11+32•15
E. 19xy+40
B, C, and E
Express the given statement as an algebraic expression.
The height, h, increased by 9 inches
h + 9
Evaluate the numerical expression 12(9 − 3).
72
Evaluate 8s for s = 4.
32
Use the order of operations to evaluate the expression.
9+2(3+6)÷2
The simplified expression is 18.
The numbers and operations are in the same order in the two expressions below. Are the two expressions equivalent?
25+7×12÷4
(25+7)×(12÷4)
No they are no equivalent. The first expression is 46 whereas the second expression is 96.
Evaluate 18 ÷ y for y = 3.
6
Identify the coefficient, variable, and constant in the expression 3x + 10.
Coefficient: 3
Variable: x
Constant: 10
Evaluate 12−n for n = 3.
9
Evaluate 3r ÷ 5 for r=15.
9
Rewrite the expression using an exponent. Then find the value of the expression.
7×7×7
7^3
343
You worked on a school project every day for 7 days. Each day, you worked for 2 hours in the morning and 4 hours in the afternoon. Which expression below correctly represents the total number of hours you worked on the project? Then answer, how many hours did you work on the project over the 7 days?
A. (7 + 2) x 4
B. (7 x 2) + 4
C. 2 + 4 x 7
D. 2 x 4 + 7
E. 7 x (2 + 4)
E. 7(2 + 4)
You worked on the project 42 hours over 7 days.
Write this expression using repeated multiplication. Then give its value.
6^4
6*6*6*6
1,296
Evaluate the expression.
48 ÷ 4^2 + (20 − 15)
The expression simplifies to 8.
Identify the following in the expression below.
12x + c - 8
How many terms?
What are the coefficients?
What are the variables?
What are the constants?
Terms: 3; 12x, c, and 8
Coefficients: 12, 1
Variables: x, c
Constants: 8
(2/3)^4 + 3
3-16/81
Which of the following description fits the expressions:
8(3x+4)
Quotient of two factors
Product of two factors
Difference of two factors
Sum of two factors
Product of two terms
2. Product of two factors
B. The difference of two terms
Simplify the expression for y = 3.
5 + 24/y
13