Two-Step Equations
Solve the equations.
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
Solve the inequalities. 1≥x-9
10≥x
Solve the inequalities. 2y+7>11
y>2
What 3 expressions are equivalent to 6x +1- (3x-1)?
A. 6x + 1 - 3x -1
B. 6x + -3x + 1 + 1
C. 3x + 2
D. 6x - 3x + 1 - 1
E. 6x + 1 + -3x - -1
B, C, E
Solve the equations.
2w -21=-3
w=9
Solve the equations.
5+2(x-2)=19
x=10
Solve the inequalities. 5+m+8≥14
m≥1
Solve the inequalities. 11-4z<-1
z>3
Draw a number line that makes this inequality true.
5 - 2x < -4
X > 4.5
Solve the equation.
4-3x=34
x=-10
Solve the equations. -5(3n+5)=20
n= -3
Solve the inequalities. -7a < -49
a > 7
Solve the inequalities. 3 + 5b < 7
b < 4/5
Factor to write an equivalent expression.
4 (9a - 4) or 2 (18a - 8)
Solve the equations.
4d +25=33
d=2
Solve the equations. 42=18t+4(t+5)
t=1
Solve the inequalities. -11d + 33 ≤ -22
d≥ 5
Solve the inequalities. x/-3 -8≥-3
x≤-15
Tyler is simplifying the expression 6 - 2x + 5 + 4x. Here is his work:
6 - 2x + 5 + 4x
(6 - 2)x + (5 + 4)x
4x + 9x
13x
Where is his error and what should his actual expression be?
he multiplied by xs.
11 + 2x
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write the inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius.
5 - 2h < -4
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to biuy some songs. Each song costs $1.29.
What would the inequality be for this situation?
9.99 + 1.29x < 50
Draw the numberline for the following inequality
-3x + 1 < 7
x > -2
Expand to write an equivalent expression:
-1/4(-8x + 12y)
2x - 3y
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. a. Starting from a full tank, can Diego’s family drive the car for 14 days without the warning light coming on?
Yes, in 14 days the car uses 8.4 gallons of gas, since . 5.6 gallons remain, so the warning light is off.