Write the following phrase as a number sentence:
"Half the sum of a number and eight decreased by 1"
(1/2)(x + 8) - 1
100
7(x-12) + 9x + 84
16x
100
2 l 2x - 5 l = 22
x = 8
x = -3
100
2m + 19 = m (23 x 2)
m = 27
200
Write a word phrase for the following numeric expression:
(1/3)g + 7
A third of the number g increased by 7
OR
The product of one-third of a number plus 7
200
9(c + 4v) - 7(2c + 6v)
-5c - 6v
200
Solve in terms of b:
A = (3/4)bh
4A/3H
200
(3x + 1)/2 = -6(x + 4)/4
x = -2(1/6)
300
Write the following word phrase as a numerical expression:
"Seventeen less than twice the difference of 4 and a number p"
2(4 - p) - 17
300
z(x + y) + 2zx - 4zy
3zx - 3zy
300
Solve for h:
(3r + 5)/2 - 2 = 13
r = 8.33333...
300
1.2/0.6 = 3.6/n
n = 1.8
400
What is the difference between an expression and equation?
What is the difference between a numerical expression/equation and an algebraic expression/equation?
Expressions do not contain equal signs while equations do.
Numerical expressions/equations contain only numbers while algebraic expressions/equations contain at least one variable.
400
10 - 6[(1/2)x - 2] + 2(0.5x - 5) + 2
14 - 2x
400
Solve for n:
(n+7)/2 + 2 = -11
n = -33
400
Solve in terms of c:
14a = dc - 3a
c = 17a/d
500
Stacy pays a standard fee of $21.99 a year for her gym membership in addition to the $12.45 she pays per month, m, to the gym. Make an equation to represent her total cost, c, at the end of the year.
c = 21.99 + 12.45m
500
18mn - 15xy - 16x + 7m
18mn - 15xy - 16x + 7m
(cannot combine)
500
When 12 is added to half the sum of a number and 8, the result is 40. What is the number? Make an equation