Expressions and Equations
State one key difference between an expression and an equation.
An equation has an equals sign, an expression does not.
A pattern starts at 2 and increases by 5 each step. What are the next three terms?
7, 12, 17
In 3x + 7, what is the coefficient?
3
Evaluate 2x + 3 when x = 4.
11
True or False: The coefficient is the number multiplying the variable.
True
Write an expression for: "three less than twice a number, n."
2n - 3
What is the common difference of the sequence 4, 9, 14, 19, ...?
+5
Identify the constant term in 5y - 9.
-9
Evaluate 3y - 2y when y = 5.
5
Create an expression for the total cost for t tickets if each costs $8 and there is a $3 service fee.
8t + 3
Write an equation for: "five more than three times a number x is 26."
3x + 5 = 26
Write the rule of a sequence starting at 3 and increasing by 4 each time.
3 + 4n
In 2a - 3a + 5, name the variable(s), coefficients, and constant.
Variable: a
Coefficients: 2 and -3
Constant: 5
Evaluate (a/2) - 4 when a = 10.
1
If 3x + 2 = 14, what is x?
4
n - 8 = 4n + 2
A taxi charges a $3 start fee plus $2 per km. Write the linear relation.
C = 3 + 2k
Name the parts: -4m + 6.
Coefficient: -4
Variable: m
Constant: 6
Evaluate 4m - 3n when m = -2 and n=6.
-26
A pattern starts at 10 and decreases by 3 each time. What is the 3rd term?
10 - 3(3) = 1
Which are expressions and which are equations:
A) 7 + m/2 B) 4k - 9 = 15 C) 3(a+1) D) y/5 = 10
Expressions: A, C; Equations: B, D
If a pattern follows y = 2x + 1, what is y when x = 3 and when x = 6?
y = 7 (for x = 3) and y = 13 (for x = 6)
Which of these rules would have the output stay the same no matter the input?
A) 3x B) -7 C) 5x D) -9x
B
Evaluate 2p - (3q - 4) when p = -3 and q = -2.
4
Two numbers sum to 22. One is 4 more than twice the other. Solve.
x = 6; other = 16