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MathExam.docxMath Exam Page 10
Please remember to show ALL of your work on every problem. Read the basic rules for showing work below BEFORE you start working on the exam.
a) Each step should show the complete expression or equation rather than a piece of it.
b) Each new step should follow logically from the previous step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
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1) Simplify the expression. Show all work.
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2) Evaluate the following expression if , and . Show all work.
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3) Simplify the expression. Show all work.
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4) Simplify the expression. Show all work and write the answer in lowest terms.
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5) An adult elephant that is 7.7 ft tall casts a shadow that is 25.4 ft long. Find the length of the shadow that a 4.1 ft baby elephant casts. Use a proportion to set up and solve the problem. |
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6) What percent of 142 is 80? Set up a percent equation to solve this problem. Round your answer to the nearest tenth of a percent. |
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7) Find the percentage change from 32 miles to 19 miles. Use the formula for percent increase or decrease to solve this problem. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease. |
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8) Find the final price of the item below, given that the tax will be applied to the discounted price. Set up percent equations to solve this problem, and round your answer to the nearest cent. Original price of a motorcycle: $14,700.00 Discount: 19% Tax: 4% |
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9) Use the simple interest formula to find the ending balance, given the following values for principal, rate, and time. $1160 at 7.6% for 4 years |
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10) Solve the equation. Show all work and show the complete check of your answer.
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11) Solve the equation. Show all work and show the complete check of your answer.
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12) Solve the equation. Show all work. You do not need to show the complete check of your answer.
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13) Solve the equation. Show all work. You do not need to show the complete check of your answer.
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14) Solve the inequality. Sketch the solution on a number line, then use interval notation to describe your solution.
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15) Solve the inequality. Sketch the solution on a number line, then use interval notation to describe your solution.
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16) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
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17) Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and drawn the line through them.
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18) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.
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19) Write the slope-intercept form of the equation of the line through the points and . |
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20) Write the slope-intercept form of the equation of the line through and parallel to the line . |
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21) Write the slope-intercept form of the equation of the line through and perpendicular to the line |
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22) Solve the system of equations by the method of substitution. Write your answer as an ordered pair.
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23) Solve the system of equations by graphing both lines on one coordinate system. Write your answer as an ordered pair.
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24) Solve the system of equations by the method of elimination. Write your answer as an ordered pair.
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25) Alberto and Julio are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Alberto sold 5 packages of chocolate chip cookie dough and 7 packages of gingerbread cookie dough for a total of $110. Julio sold 3 packages of chocolate chip cookie dough and 14 packages of gingerbread cookie dough for a total of $164. What is the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough? |
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