Algebra C&C Unit 3 Quiz Review PDF

Algebra C&C Name: ___________________________________________ Unit 3 Quiz Review Date: ________________ Per ___________ Show all work for full credit! 1) Coach Taylor is buying sports drinks and energy bars for the t...

Algebra C&C Name: ___________________________________________ Unit 3 Quiz Review Date: ________________ Per ___________ Show all work for full credit! 1) Coach Taylor is buying sports drinks and energy bars for the team’s tournament. She has a budget of no more than $120. Each energy bar costs $5, and each sports drink costs $4. Let x represent the number of energy bars purchased, and y represent the number of sports drinks bought. a) Write the linear inequality in standard form to represent this situation. b) If Coach Taylor buys no orders of energy bars, how many sports drinks can she buy within her budget? _________________ c) If Coach Taylor buys no sports drinks, how many energy bars can she buy within her budget? _________________ d) Would Coach Taylor be able to afford 10 sports drinks and 10 energy bars? Show your work and explain why or why not. e) Graph the inequality on the given graph. Make sure to label your graph. 2)Write an inequality in slope-intercept form that represents the following graph. Write your answer in the blank. ____________________________________________________________________  3) Write an inequality in slope-intercept form that represents the following graph. Write your answer in the blank. ____________________________________________________________________ 4) Alyssa is preparing for a science fair project on solar energy. For every solar panel she sets up, she generates 240 watts of energy (x), but each minute spent charging the battery reduces the energy by 12 watts (y). Alyssa wants to make sure the net energy she generates doesn’t exceed 12,000 watts. This can be expressed by the following inequality: 240𝑥 − 12𝑦 ≤ 12,000 a) If Alyssa sets up 40 solar panels and spends 300 minutes charging the battery, will she meet, go over, or go under her energy limit? Show your work and explain why or why not. b) Rearrange the inequality into slope-intercept form. Write your answer in the blank. _____________________________ 5) Determine whether the given point is a solution to the linear inequality that is shown. Circle your answer for each point given as Yes/No. Point: Yes or No? a) (−5, −5) Circle: Yes or No? b) (−150, −150) Circle: Yes or No? c) (15, 30) Circle: Yes or No? d) (0, 3) Circle: Yes or No? e) (−15, −30) Circle: Yes or No? f) (5, −5) Circle: Yes or No? g) (150, 150) Circle: Yes or No? h) (0, −3) Circle: Yes or No? 6) Samantha bought a new tablet and a pair of wireless headphones. She spent no more than $900. Write an inequality that best represents the price of the headphones, y, if x represents the cost of the tablet? ______________________________________ 7) Match each ordered pair solution to the correct inequality by substituting the values of the ordered pair into the inequality. If the inequality holds true with the given values, it is a valid solution. Inequality Ordered Pair 3𝑥 + 2𝑦 ≤ 12 (0 , 1) 4𝑥 − 𝑦 ≥ 5 (3 , 2) −2𝑥 + 3𝑦 < 6 (3 , 7) 𝑥 + 4𝑦 > 8 (2 , 3) 8) Match the inequality, with the statement that describes how to graph it correctly. Inequality Statement 7𝑦 > 𝑥 − 9 The boundary line is solid, and the graph is shaded above the boundary line. 3𝑦 ≤ 4𝑥 + 12 The boundary line is solid, and the graph is shaded below the boundary line. 𝑦 < 8𝑥 − 10 The boundary line is dashed, and the graph is shaded above the boundary line. 2𝑦 ≥ 5𝑥 + 6 The boundary line is dashed, and the graph is shaded below the boundary line.