Multistep Equations
Proportions, Expressions, & Dimensional Analysis
Literal Equations
Solving Inequalities
Compound Inequalities
100
Solve for y
4y + 10 = -3(2 - 4y)
y = 2
100
List the coefficients, the constants, and each term for the given expression: 3x2 - 40y - 5
Coefficients: 3 & -40
Constants: -5
Terms: 3x2, - 40y, & - 5
100
Solve for k
S=1/2kW
k=(2S)/W
100
Solve for x
2(5 + 2x) - 3(x + 2) > 12
x > 8
100
Write the compound inequality that the given graph represents:
-2 ≤ x < 5
200
Solve for x
-3(2x + 6) + 2(7x - 4) = 14
x = 5
200
1 inch represents 26 miles on a map. If the distance between two towns on a map is 7 1/2 inches, how far are the actual towns apart?
195 miles
200
Solve for q
8q + 6y = 10
q=(5-3y)/4
OR
q=5/4-3/4y
200
Write an inequality that represents the description, then solve.
Jimbo has $48 to spend on $16 carne asada fries and bunch of $4 tacos (t). How many tacos (t) can he buy?
48 ≥ 16 + 4t
t ≤ 8 tacos
200
Solve and graph the following compound inequality:
x/3-3≤-4 OR 6x+5>17
x ≤ -3 OR x > 2
300
Solve for t
t/4 + 6 = -5
t = -44
300
Convert the following sentences into algebraic expressions:
a) The difference between a number and seven is eighty.
b) Five times the sum of a number and six is the quotient of the same number and two.
a) x - 7 = 80
b)
5(x+6)=x/2
300
The formula for the area of trapezoid is
A=1/2h(B+b)
The area is 120 in2, the large base (B) is 10 in, and the small base (b) is 6 in. Find the height (h).
h = 15 in
300
Solve for x
1/3(-6x+15)≥4(3-4x)
x ≥ 1/2
300
Solve and graph the compound inequality:
-8 < -2x - 4 < -2
-1 < x < 2
400
Solve for w
4/3x-7/4=5+x/2
x=81/10
400
Convert 35 miles per hour to feet per second. (5280 ft = 1 mile). Round to the nearest whole number.
51 feet per second
400
Solve for x
5x = xy + 8
x=8/(5-y)