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This review encompasses fundamental algebraic operations including addition, subtraction, multiplication, and division, along with percentage calculations and the identification of mathematical symbols. Students will learn to express numbers in simplest forms, evaluate expressions with exponents, and solve various equations. The review also covers finding statistical measures such as mean, median, mode, and range, as well as working with coordinates and graphing. Ideal for students seeking to strengthen their understanding of algebra and prepare for assessments.
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Review Questions Algebra I
1A Add. Write the sum in simplest form.
1B Subtract. Write the answer in simplest form.
2A What is 1 ½ % of $400? $6
1C Divide. Write the answer in simplest form.
2B What percent of 2 is 8? 400%
2C Eighteen is what percent of 60? 30%
3A Write as a decimal. 0.625
3B Write 0.98 a fraction in lowest terms.
3C Write as a percent. Round to the nearest tenth of a percent, if necessary. 66.7%
4A Name the base and exponent then evaluate. 34 The base is 3. The exponent is 4. 34 = 81
4B Name the base and exponent then evaluate. 122 The base is 12. The exponent is 2. 122 = 144
4C Name the base and exponent then evaluate. 106 The base is 10. The exponent is 6. 106 = 1,000,000
5A Evaluate. 12÷3•5-42 4
5B Evaluate. 15÷3•5-42 9
5C Evaluate. 8[62 - 3(2+5)]÷8+3 18
6A What symbol is used for“greater than”? >
6B What symbol is used for“less than or equal to”? ≤
6C What symbol is used for“not less than”? ≥
7A Name the coordinates of the points graphed on the number line. {-4, -3, -2, 1, 2}
7B Graph on a number line.
7C Graph the set of numbers on a number line. {integers less than -3 or greater than or equal to 5}
8A Find the sum. 41 + (-63) -22
8C Find the difference: -45 - (-10) -35
9A • Find the product: – 9 (– 12 ) 108
8B Add: -15 + (-45) -60
9B Find the product:
9C Simplify: (–8x)(–2y) + (–3y)(z) 16xy – 3yz
10A Find the quotient. -77 ÷ 11 -7
10B Find the quotient. 17
10C Simplify. 8-2a
11A Find the mean, median, mode and range for the set of data. {1, 2, 3, 5, 5, 6, 13} Mean: 5 Median: 5 Mode: 5 Range: 12
11B Find the mean, median, mode and range for the set of data. {8, 7, 5, 19} Mean: 9.75 Median: 7.5 Mode: none Range: 14
11C Find the mean, median, mode and range for the set of data. {201, 201, 200, 199, 199} Mean: 200 Median: 200 Mode: 199 & 201 Range: 2
12A Replace the O with <, >, or = to make the statement true. O 3.888… >
12C Find the square root in simplest form.
12B Write these real numbers in order from least to greatest. (You may use a calculator.)
13A Solve: k + 21 = 14 k = -7
13B Solve: 15 = a - 5 20
13C Solve:
14A Solve: –3x = 12 –4
14B Solve: 2/3
14C Solve: -77
15A In which quadrant is the point(3,-4) located? Fourth quadrant
15B Plot the point (–5, 0) on a coordinate plane.
15C Write the ordered pair for the point shown. Name the quadrant in which the point is located. (-2 , 4) II
16A Solve if the domain is {–2 , –1, 1, 3, 4} y=4 – 5x {(– 2,14), (–1,9), (1,–1), (3,–11), (4,–16)}
16B Solve if the domain is {–2 , –1, 1, 3, 4} y=2x + 3 {(– 2, –1), (–1,1), (1,5), (3,9), (4,11)}
16C Solve if the domain is {–2 , –1, 1, 3, 4} x=7 – y {(– 2, 9), (–1,8), (1,6), (3,4), (4,3)}
17A Choose the letter with the graph of the solution set of . e.