Systems of Equations
4x – y = 5
8x + y = 7
What is (1, -1)
4x + 3 = 7x - 6
What is x = 3
|3x - 10| = 6x + 12
What is -2/9
8 −3𝑝 ≤ 5
What is {𝑝|𝑝 ≥1}
Write y = 2/3x +1/2 in standard form
What is 4x - 6y = -3
6x + 5y = -8
3x - y = -11
What is (-3, 2)
0.5 (8 + 2b) +6 = 3b
What is b = 5
|6x - 3| + 2x = x + 4
What is {1, -1/5}
0.8y + 7 ≤ 0.4y + 9
What is y ≤ 5
Write 6x = 3y - 18 in slope-intercept form
What is y = 2x + 6
8x + 2y = 30
7x + 2y = 24
14.3h – 6.5h = 10.3h + 9
What is h = -3.6
-2 |5x + 9| + 7x = 7x + 8
What is { }
1.4𝑐 – 2.9𝑐 > 3.5𝑐 +7.5
{𝑐|𝑐 <−1.5}
Write the equation of a line that passes through the point (-2, 6) and has a slope of 7 in point-slope form
What is y - 6 = 7 (x+2)
6x + 5y = -32
5x - 9y = 26
What is (-2, -4)
7x + 8 (x-3) = 12 - 3x
What is x = 2
3 |x + 7| - 8 ≤ -x - 11
What is {x | -9 ≤ x ≤- 6}
𝑛/−3 + 7 ≤ 9
{𝑛|𝑛 ≥−6}
Write the equation of a line that passes through the points (–6, –2) and (–8, 4) in point-slope form
y + 2 = –3(x + 6) or
y – 4 = –3(x + 8)
The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1 child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
Adults cost $37 and children cost $24
1/4 - 7/10 p = 1/20 p
What is p = 1/3
A study found that 52% of Americans do not drink any soda during an average day. The margin or error was within 4 percentage points. Let x be the actual percentage of Americans that do not drink soda during the day. What is the percentage range of those Americans?
What is 48≤x≤56
ada makes money each winter by shoveling snow for her neighbors. She charges $10 per job plus $15 per hour. During one snowstorm, she agrees to shovel the snow for 6 neighbors. She hopes to make at least $225.
a. Write and solve an inequality and find the minimum number of hours Jada must shovel snow during the snowstorm to reach this goal.
What is 11 or more hours
Nathan spent all Saturday reading a book. By 11 A.M., he had read 144 pages. He took an hour break for lunch, and then by 2 P.M., he had read 240 pages. Write an equation in point-slope form that represents the number of pages y that Nathan read in x hours since he began at 9 A.M.
y – 144 = 48(x – 2) or
y – 240 = 48(x – 4)