Name ________________________________
Final Review #2
Date ________
Final Review #2
1) Determine if the following relation is a function:
{(8, 2), (3, -1), (-2, 5), (8, -2), (4, 3)}
2) Subtract. Leave your answer in scientific notation.
(4.2 x 104) – (7 x 103)
3) Factor:
a)
4) Factor completely:
5) Divide:
12x9 y2
8x7 y5
12xy + 18x
12x3 – 3x
b)
x2 + 7x - 18
6)
Solve for x:
a)
2(5x + 4) = 7x – 16
b)
3
(8x + 4) = 7x + 11 – x
4
7) The coordinates of ̅̅̅̅
𝐴𝐵 is (4, 6) and (-5, -2). Write the coordinates of ̅̅̅̅̅̅
𝐴′𝐵′, the image of ̅̅̅̅
𝐴𝐵, after a
translation 3 units left and 7 units up.
8) The lengths of the sides of triangle ABC is 14, 10, and 7. The longest side of similar triangle JKL is
56. Find the length of the shortest side of triangle JKL.
9) Write the equation of the line shown in each graph.
a)
b)
10) Solve for x.
11) Determine the x-intercept and y-intercept of the linear equation:
12) Solve the system of equations below graphically.
y - 4x = -3
x+y=7
13) Solve the system of equations below algebraically.
2y + x = 9
3y + 2x = 14
y + 4x = 7