MTH1W Equations Mock Test 2024 PDF

First Name: _______________________ Last Name: _______________________ Date: ___________________ MTH1W Mock Test: Equations /28 Short Answer: SHOW ALL WORK FOR FULL MARKS Reduce any fractions to the lowest terms 1. Solve the...

First Name: _______________________ Last Name: _______________________ Date: ___________________ MTH1W Mock Test: Equations /28 Short Answer: SHOW ALL WORK FOR FULL MARKS Reduce any fractions to the lowest terms 1. Solve the following equations: a) 4 = 𝑑 [ /1] b) 2 𝑥 − 5 = 15 [ /1] 5 7 3 1 c) 5(𝑦 − 2) − 2(6𝑦 − 3) = 4 [ /2] d) 2(𝑦−3) = −3 [ /2] 3 𝑒−5 𝑒+1 4 f) 5𝑥 − 2 = − 2𝑥 [ /2] e) = [ /3] 5 6 8 g) Do not solve, but check whether 𝑥 = 3 is the root of the following equation [ /2 ] Conclude with a ∴ statement. 3 + 3𝑥 + 1 − 2𝑥 = 8 − 5𝑥 − 1 + 7𝑥 MTH1W – Equations Mock Test Full Solutions: SHOW ALL WORK FOR FULL MARKS 2. Read each question carefully. Respond to only what is asked. a) Define a variable and write an equation: [ /2] b) Define a variable and write an equation: [ /2] DO NOT SOLVE DO NOT SOLVE “345 students went on a field trip. 6 busses were filled “Jill sold one third of her comic books and then bought 16 and 7 students traveled in cars. How many students were more. She now has 56 comic books. How many did she in each bus?” originally have?” c) Mark is 6 years older than Frank. Together their ages add to 32. How old are Frank and Mark? [ /3] Represent a variable, set up an equation, solve and interpret. Clearly state each person’s age. 3. The sum of three consecutive integers is –93. What are the three integers? [ /4] Represent a variable, set up an equation, solve and interpret. Clearly state the value of each integer. smallest integer: _______ middle integer: _______ greatest integer: _______ 4. An isosceles triangle and an equilateral triangle have the same perimeter. Determine the value of 𝑥. [ /4] MTH1W – Equations Mock Test