# Chapter 3 ```Pre-Algebra Midterm study Guide.
No calculator
Chapter 1
1-1 Variables and Expressions (page 4)
Evaluate each algebraic expression for the given variable.
1) x + 5, for x = 12
2) 3a + 5, for a = 6
3) 2(4 + n) – b, for n =5 and b=9
1-2 Write Algebraic Expressions (page 8)
Write an algebraic expression for each word phrase.
1) the quotient of a number 6 and t
2) the sum of 7 times m and 6
3) seven times the sum of m and 6
4) the quotient of 12 and a number h
1-3 solving equations by adding or subtracting (page 13)
Solve the equation then check the solution.
1)
7 + t = 12
2) 15 = m + 9
3) x – 29 = 81
1-4 solving equations by multiplying or dividing (page 18)
Solve the equation then check the solution.
1) 4x=26
2)
𝑘
8
=9
3) 20w = 5
1
1-4 continued
Solve the equation then check the solution.
4) 6𝑥 − 5 = 7
𝑛
3
5)
−4=1
6) An orange contains about 80 milligrams of vitamin C, which is 10 times as much as an apple contains.
Write and solve an equation to find n, the number of milligrams of vitamin C in an apple.
1-5 Solving simple inequalities (page 23)
Solve and graph the inequality
1)
2) 1 ≤
b+4&lt;8
𝑡
4
3) 3x ≥ 12
1-6 Combining like terms (page 28)
Combine like terms
1) 7x – 3x
2) 4f + 2 – 2f + 6 + 6f
2
3) 7(t + 8) – 5t
1-6 continued
Solve
4) 5x – x = 48
5) 5p – 2p = 51
1-7 ordered pairs (page 34)
Determine if the ordered pair is a solution to the equation.
1) y = 2x – 4, for (2, 1)
2) y = 4x + 3, for (1, 7)
1-8 graphing on a coordinate plane (page 38)
Give the coordinates of each point.
1) A__________
2) B__________
3) C__________
4) D__________
5) E__________
6) F__________
1-9 interpreting Graphs and tables (page 43)
Not tested on mid term
3
Chapter 2
1) 6 + (−4)
2) −6 + 10
3) −6 + −15
Evaluate
5) 𝑝 + (−4), 𝑓𝑜𝑟 𝑝 = −4
4) t + 16, for t = −15
2-2 subtracting integers (page 64)
Subtract
1) −7 − 8
2) −7 − (−4)
3) 9 − (−9)
Evaluate
4) −5 − 𝑡, 𝑓𝑜𝑟 𝑡 = −5
5) −8 − 𝑚, 𝑓𝑜𝑟 𝑚 = 17
6) A submarine cruising at 25 m below sea level, or -25m, descends 15m. What is its new depth?
2-3 Multiplying and dividing integers (page 68)
Multiply or Divide
1) 9(−3)
2)
−56
−7
3) −6(−5)
Simplify
4) −7(5 − 12)
5) 12(−8 + 2)
4
2-4 Solving equations containing integers (page 74)
Solve the equation then check your solution.
1) 𝑦 − 8 = −2
2) 3 + 𝑥 = −8
3)
𝑎
−6
= −2
4) 8𝑔 = −32
2-5 solving inequalities containing integers (page 78)
Solve and graph
1) 𝑥 + 2 ≥ −3
2) −4𝑤 &lt; 12
3)
𝑛
2
≤ −3
2-6 Exponents (page 84)
Evaluate
1) 23
2) (−7)2
3) −92
2-7 &amp; 2-8 properties of exponents (page 88-92)
Write as one product with positive exponents.
1) 𝑤 4 ∗ 𝑤 12
2)
𝑏14
𝑏9
3) (𝑡 3 )5
5
4)
𝑥7
𝑥 13
2-9 Scientific Notation (page 96)
Write the number in scientific notation.
1) 0.00000567
2.) 480,000,000
Write the number in standard form
3) 8.3 x 10 -4
4) 6.72 x 107
Chapter 3
3-1 Rational numbers (page 112)
Simplify
16
1) − 24
2)
7
27
12
3) − 15
3-2 Adding and subtracting rational numbers (page 117)
1) −3.4 + 1.8
2) −4 + 0.3
Evaluate the expression
3) 47.3 + 𝑥, 𝑓𝑜𝑟 𝑥 = 18.6
4) 𝑤 + −6.4, 𝑓𝑜𝑟 𝑤 = −8.54
3-3 multiplying Rational numbers (page 121)
Evaluate the expression
1
2
1) −3 4 ℎ, 𝑓𝑜𝑟 ℎ = − 3
2) −2.9𝑤, 𝑓𝑜𝑟 𝑤 = −3
3-4 Divide Rational Number (page 126)
Evaluate the expression
1)
4.5
, 𝑓𝑜𝑟
𝑥
𝑥 = 0.2
2)
1
8
− &divide; 𝑡, 𝑓𝑜𝑟 𝑡 =
6
2
5
3-5 Adding and Subtracting with unlike denominators (page 131)
1)
5
8
1
3
+ (− 6 )
13
1
2) 4 − 16
11
3) 5 3 + 12
3-6 Solving equations with rational numbers (page 136)
Solve and check
1)
5
𝑑
8
6
= 18
2) 𝑦 − 68 = −3.9
3)
4
13
12
+ 𝑡 = 39
3-7 Solving inequalities with rational numbers (page 140)
Solve and graph
2
3
1) 𝑘 − 5 &gt; 15
4
2) −3𝑓 &lt; − 5
3) 𝑧 − 0.75 ≤ −0.75
3-8 Squares and roots (page 146)
Find the two square roots of the number
1) 25
2) 144
3-9 Finding square roots (page 150)
Each square root is between two integers, name the integers.
2) −√55
1) √230
7
3-10 The real numbers (page 156)
State if the number is rational, irrational, or not a real number.
1) √−49
2) √64
3)
√18
Chapter 4
4-1 samples and surveys (page 174)
Not tested on midterm
4-2 Organize data (page 179)
Use the data to make a back to back stem and leaf plot.
4-3 measures of central tendency (page 184)
Find the mean, median, and mode of the data set.
5, 2, 12, 7, 13, 9, 8
1) mean __________
2) median_________
4-4 Variability (page 188)
Use the data to construct a box and whisker plot
22, 17, 22, 49, 55, 21, 49, 62, 21, 16, 18, 44, 42, 48, 40, 33, 45
1) 1st quartile______________
Make box and whisker plot here.
2) median__________
3) 3rd quartile______________
4) range____________
8
3) Mode__________
4-5 Display data (page 196)
Use the data to answer the question
1) estimate the number of railroad passengers in 1999.
4-6 Misleading Graphs and statistics (page 200)
Explain why the graph is misleading.
4-7 Scatter Plots (page 204)
Identify the type of correlation for each scatter plot
9
Chapter 5
5-1 Points, lines, planes, and angles (page 222)
Use the figure to answer the questions.
1) Name a pair of supplementary angles.
2) Name a pair of complementary angles.
5-2 Parallel and perpendicular lines (page 228)
Use the figure to find the measure of the angles.
1) m &lt; 1 _______
6) m &lt; 6 _______
2) m &lt; 2 _______
7) m &lt; 7 _______
3) m &lt; 3 _______
4) m &lt; 4 _______
5) m &lt; 5 _______
5-3 triangles (page 234)
1) find y in the triangle.
5-4 Polygons (page 238)
1) Find the angle measure in the regular polygon.
10
5-4 continued
1) Graph the points on the coordinate plane. Connect the points then classify the polygon by the
number of its sides.
(0,-1), (-1, 3), (2, 5), (5, 3), (4, -1)
5-5 Coordinate Geometry (page 244)
Not tested on midterm
5-6 Congruence (page 250)
1) Write a congruence statement for the pair of polygons.
2) In the figure, triangle ABC ≅ triangle LMN
11
2a) Find r
2b) find q
12
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