-12 - ( -40)
Which of the following are equivalent to the expression above? Select all that apply.
a) -12 + 40
b) 12 - 40
c) -40 - ( -12)
d) 40 - 12
a) -12 + 40
d) 40 - 12
What fraction of the figure is shaded?
5/8
Solve for x:
5x + 14 - x = 2
5x + 14 - x = 2
4x + 14 = 2
4x = -12
x = -3
Solve for x:
2x + 1 < 31
2x + 1 < 31
2x < 30
x < 15
Identify a point on the line below. Put your answer in ( x, y ) form.
Answers will vary.
Write an expression for the following phrase, then simplify
Three less than negative five
-5 - 3
-8
Simplify the fraction:
80/25
Divide the numerator and denominator by 5,
16/5
Solve for m:
4m - 1 + m = -2 ( 8 - m)
4m - 1 + m = -2(8 - m)
5m - 1 = -16 + 2m
3m = -15
m = -5
Solve for x:
5x + 10 ≤ 14x - 8
5x + 10 ≤ 14x - 8
18 ≤ 9x
2 ≤ x
y = 3x - 1
Use the table to find a solution to the equation above. Put your answer in ( x, y ) form.
y = 3(-1) - 1
y = -3 - 1
y = -4
( -1, -4)
On a standard number line, Hector is standing at -14 and Selina is standing at -9. Who is standing farther to the right?
Selina is standing farther to the right.
Find the value of y:
y = 1/3 + 2/5
y = 1/3 + 2/5
y = 5/15 + 6/15
y = 11/15
Avila has half as many mosquito bites as Peyton. Danny has three times as many bites as Peyton. If Avila has one bite, how many bites does Danny have?
Danny has 6 mosquito bites.
Solve for x:
4(x - 5) ≤ 1 + 8x - 2
4( x - 5) ≤ 1 + 8x - 2
4x - 20 ≤ 8x - 1
-19 ≤ 4x
-19/4 = x
Is the point ( -1, -1) on the graph of the equation?
y = -2x + 1
No
(-1) = -2(-1) + 1
-1 = 2 + 1
-1 = 3
False
Simplify the expression:
( -5 - 6) + 7 - ( -8) - ( 9 - 10)
(-5 - 6) + 7 - ( -8) - ( 9-10)
( -11) + 7 + 8 - ( -1)
-11 + 7 + 8 + 1
5
Evaluate and Simplify:
If:
x + 2x - y = 10 - x
then what is x when
y = 2
x + 2x - y = 10 - x
x + 2x - (2) = 10 -x
3x - 2 = 10 - x
4x = 12
x = 3
Write an inequality to match the description below. Then, solve for the number.
The sum of a number and 28 is greater than the product of -4 and that same number.
n + 28 > -4n
28 > -5n
-28/5 < n
Find a point on the line 2y = 2x + 4 when x = 0
2y = 2(0) + 4
2y = 4
y = 2
(0,2)
The temperature on a Wednesday was -9℉. A week later, the temperature rose 11℉. If the temperature dropped by 20℉ two weeks later, what was the temperature?
-9 + 11 - 20
2 - 20
-18
Simplify the expression:
(1/2 * 10) + (1/10 * 2/3)
(1/2 * 10) + ( 1/10 * 2/3 )
(10/2) + (2/30)
(5) + (1/15)
5 1/15 or 76/15 or 5.067
Write an equation that represents the following phrase, then solve:
The sum of thirty and fifteen is three-fourths of a number.
30 + 15 = 3/4(x)
45 = 3/4(x)
60 = x
Write an inequality statement for the sentence below, then solve.
Five less than six times a number is at most twenty-five increased by the number.
6n - 5 ≤ 25 + n
5n ≤ 30
n ≤ 6
y = 2x - 4
Does the graph match the above equation?
No. Both points would need to make the equation true in order for the equation to match the graph.
(4) = 2(0) + 4
4 = 0 + 4
4 = 4
True
(0) = (2) + 4
0 = 6
False