Target 1A: Expressions
Determine the expression used to represent the PERIMETER of a square each with side length 3x
12x
A new laptop costs $2,060. A family makes a down payment of $215 and pays off the balance in 15 equal monthly payments. Find the monthly payment.
$123
Solve this inequality
-3x + 9 < 30
x > -7
Solve for y:
12x + 6y = 18
y = (18 - 12x)/6
Write an expression that represents "12 times the sum of a number and 9"
12(x+9)
Solve:
15x - 2 = 12x + 16
x = 6
Solve this inequality
7x + 2 < 3x + 10
x < 2
Solve for p:
V = bp
p = v/b
Rewrite the following expression with the fewest terms possible:
13x-11-6x+9y+5
7x + 9y - 6
-7 = 3 - 2/5x
x = 25
Admission to the zoo costs $31. Each special exhibit costs $6.50. You have $70 to spend at the zoo on exhibits and general admission. Express the number of special exhibits you can view as an inequality. (Write and solve the inequality)
$31 + $6.50x ≤ $70
x ≤ 6
Solve for x:
m = axr + y
x = (m - y)/ar
Are the two expressions equivalent?
-6(z + 12) and -6z - 72
Yes
Two layered cakes have the same total height. One cake has 5 layers each with height h. The other cake has a bottom layer of 6 in and 2 more layers each with height h. Write and solve an equation to find the height h of these tiers.
h = 2
The perimeter of a rectangular garden is at least 40 ft. The length of the rectangle is 3 ft. Write an inequality to represent the possible widths of the rectangle. Show your work.
2L + 2W ≥ 40
2(3) + 2w ≥ 40
w ≥ 17
Rearrange the formula to slope-intercept form by solving for y
y + 7 = -3/5(x + 10)
y = -3/5x -13
Are the two expressions equivalent?
-5 + (p + 2) and -5p - 10
No
What would be the first step of this equation? What would it look like?
-2x - 4(x - 3) = 18
Distribute
-2x - 4x + 12 = 18
The perimeter of a rectangular garden is at least 80 feet. The width of the rectangle is 11 ft. Write an inequality to represent the possible lengths of the rectangle. Show your work
2L + 2W ≥ 80
2L + 2(11) ≥ 80
w ≥ 29
Rearrange the formula for S:
W = 4/7(S - 20)
S = 7/4W + 20