Name__________________________________ Have I Learned This – Math 7 Unit 1 Parent Signature_________________________ SOLs 7.1e, 7.3, 7.16 a, b, d Teacher Signature________________________ Date of Retake___________________ Simplify each expression below. Circle your final answer. 1) 2) 5) −2(–3)(−5) 8) −8 + *3) 12 – (−4) + 7 4) –5 + 12 – (–2) 6) 6(−3)(2) 7) 7 – ( 9) 10) 7 – 4(−6) ) Model the following expressions using counters, then show it on the number line, then evaluate. 11) −2 (3) Answer: __________ 12) 2 · ( −4) Answer: __________ 13) −2 + (−1) Answer: __________ A company is digging a water well for a new house. On day 1, they reached the first point at 9 feet below ground level. On day 2, they reached the second point at 17 feet below ground level. 14) Draw a number line picture and write an expression using absolute value to show the distance between the two points on day 1 and day 2. Then solve it to find the actual distance. Picture: Expression: Actual distance: _________ 15) How far should a frog, sitting 3 inches under the water, jump in order to catch a mosquito that flies 4 inches above the water? Use absolute value to write an expression, and then evaluate. Expression: Actual distance: _________ 16) Circle ALL expressions below that can be represented by the given model. (3 pts) –5 + 9 0–5 –5 – (–9) –5 + 4 –5 + (–4) 17) Write 3 different expressions that can be represented by the given model. _____________ ______________ _______________ Write a word problem to represent one of your expressions and solve it. ___________________________________________________________________ ___________________________________________________________________ _____________________________________________________________________________________ 18) Apply Commutative property of Addition to 7 + (4 + 12). 19) Apply Associative property of Multiplication to (7 ● 5) ● 25. 20) Break apart 78 to apply the Distributive Property. Show your work. Calculate the answer. 6 • 78 = _____________________________________ Create an example using the number 8 to demonstrate the following properties: 21) Multiplicative Identity __________________ 22) Additive Identity 23) Additive Inverse ________________________ ___________________24) Multiplicative Inverse ____________________
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