zMath 180
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Unit 29: Multi-Step Equations
In the first twelve problems, solve for the unknown.
1) Solve y + 8 = –20 for “y”.
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2) Solve x + 4 = 25 for “x”.
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3)
Solve –6r = –48 for “r”.
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4) Solve for “m”.
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5) Solve –8 – 3x = 19 for “x”.
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6) Solve 2z – 7 = 31 for “z”.
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7) Solve 3x – 7 = 2 + 6x for “x”.
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8) Solve 18t + 5 = –4t – 6 for “t”.
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9) Solve –2(x – 4) = –7(x + 1) for “x”.
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10) Solve 3(d + 9) = 10(d + 2) for “d”.
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11) Solve 2(x + 9) – 4 = 8(x – 3) + 2 for “x”.
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12) Solve 4(z + 5) + 6 = 3(z –5) + 6 for “z”.
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Review
13) What solid shape is represented by this net?
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14) What solid shape is represented by this net?
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15) Explain how a net helps to find the surface area of a solid.
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16) Draw a net for a cylinder on paper. What flat shapes make up the drawing?
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17) Draw a net for a cube on paper. Describe the drawing.
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18) Graph each equation and then make the following comparison: Describe the difference in each graph as the coefficient of “x” gets larger.
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19) Predict the difference in the slope of the two equations, and then graph the two lines. How does the coefficient of “x” affect the slope of the line?
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20) If Erica decreases her driving speed from 50 MPH to 25 MPH, what can she expect to happen to the amount of time it will take to complete her trip?
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21) What are the roots of the quadratic equation?
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22) Graph to find the roots.
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23) Describe the difference in location of the two graphs.
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24) Describe the difference in the appearance of the two graphs.
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25) Refer to the table and determine if the function is linear or non-linear.
a.) Linear
b.) Non-linear
26) Is the equation linear or non-linear?
a.) Linear
b.) Non-linear
27) Isosceles right triangle ABC is graphed in the coordinate plane. Two of the vertices of the triangle are points A(0, 0) and B(0, 4). What are the coordinates of vertex C?
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28) A square pyramid has a square base with an area of 25 square centimeters and a slant height of 6 centimeters. What is the surface area of the pyramid?
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29) If the height of the pyramid in the previous problem is 5.2 centimeters, what is the volume of the pyramid? Round the answer to the nearest tenth.
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30) What is the surface area of a square pyramid that has a base edge of 3 centimeters and a slant height of 8.2 centimeters?
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31) What is the surface area of a square pyramid that has a base area of 16 square centimeters and a slant height of 4.2 centimeters?
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32) What is the volume of a square pyramid with a base area of 24 square centimeters and a height of 6 centimeters?
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33) What is the volume of a square pyramid that has a base edge of 4 centimeters and a height of 6 centimeters?
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34) Solve the inequality and state all integers between and including –5 and 5 that would solve the inequality.
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35) For the given expression, collect the like terms and write a simplified algebraic expression.
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36) For the given expression, collect the like terms and write a simplified algebraic expression. State the letter of the correct answer.
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37) For the given expression, collect the like terms and write a simplified algebraic expression. State the letter of the correct answer.
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38) For the given expression, apply the distributive property to write a simplified algebraic expression. State the letter of the correct answer.
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39) For the given expression, apply the distributive property to write a simplified algebraic expression. State the letter of the correct answer.
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