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EXAM REVIEW #1
Copy the chart below and place the numbers into the appropriate categories.
-10, 0, ½, √225, π, 1/3 , 9, 500, 12/3 , -1
Natural
Numbers
Whole
Integers
Numbers
Rational
Numbers
Irrational
Numbers
5x + 6y – 8x + 10y
2
x
– 10y +
2
4x
+ 15y
3xy – 2x + 2y + 5y + 2x – xy
½x + ¾y – 7 + ½x + ¼y – 3
2(4x + 3) – 9
7x + 2(-2x + 1)
8x – x(x + 4) + 10x
-5 + 2(x – 2) – 3(4x + 2)
a+b–c
5b – (a + c)
100(2b + a)
a(b2 – c)
-6 + a = 17
½b = -24
c/
9
= 36
16 = 4 – d
42 – 2a = 82
¼b – 1 = 3
c + 5(c – 1) = 19
½(10d – 6) = d – 15
3(2e + 12) = -2(e – 4) + e
8(f – 1) = 3f + 7
½g – 7 = 11 – ½g
2h + 4(2h – 1) = 6(h + 4)
Solve the following inequalities.
Graph the solution on a number line.
4(x + 3) < 12
¾x – 4 ≥ 16
½(4x – 6) – 3x ≤ 7
3(4 – x) – 22 > x + 48
range
independent
y-value
domain
dependent
input
x-value
output
f(x)
Evaluate each function rule for x = -4.
f(x) = 3x
f(x) = x – 5
f(x) = -3x – 4
f(x) =
2
x +
2x + 5
Given the function f(x) = ½x + 1
and the domain is {-2, 0, 4, 8},
what is the range?
Given the function f(x) = 3x – 4
and the range is {-7, -4, -1, 2},
what is the domain?
Find the slope of the line between
the two points given.
(2, 4) and (7, 1)
(3, 3) and (-4, 3)
(0, 1) and (6, 7)
(2, 5) and (2, -4)
Solve the following equations for y
(slope-intercept form) and graph.
x+y=2
2x – y = 4
2x + 5y = 10
x + 3y = -6
Solve the following inequalities for y and graph.
Shade the appropriate half-plane.
4y + 4 > 8x
3x + 4y ≤ 12
-5y + 10x ≥ -10
5y < -5x
Explain how to estimate the
square root of the number below
WITHOUT using a calculator.
√72
Find the PERIMETER of the
square below if the area of the
square is 361 cm2.
A = 361 cm2