Grade 11 Math Assignment # 1 for Test # 1
Friday, November 20, 2020
Due : Monday,November 23,2020
Name:___________ Total = 112 marks
Knowledge / Understanding (70 marks)
1. Simplify each of the following by performing the following operations.
( 4 marks)
(a) 20 +10 =
(b) 20 --10 =
(c) 20 x 10 =
(d) 20 ÷10=
2.Simplify each of the following by using BEDMAS.Show complete solutions.(8 marks)
(a) 28 ÷ 4 × 5
=
=
(b) 12 × 6÷3 +2 --12
=
=
(c) 3( 4 × 8 --24) + 7 (d) 5 ×9 + (8--3)+ 2^3
=
=
=
=
=
3. Add each of the following integers
( 4 marks)
(a) 3 + ( --5) =
(b) --2 + ( --5) =
(c) --3 + 3 = 0
(d) 6 + ( --5) =
4. Subtract each of the following integers.
( 4 marks)
(a) 11--8 =
(c) --5 --( --8) =
(b) 6 --( --3) =
(d) 0 --(--5) =
5. Multiply each of the following integers.
(4 marks)
(a) (+2)(+3) =
(b) (+3)(--7) =
(c) (--8)(--9) =
(d) --7(10)=
6. Divide each of the following integers.
( 4 marks)
(a) 16/--8 =
(b) --45/--9=
(c) 0/--2 =
(d) 5/--5 =
7.Add the following like and unlike fractions.Reduce to simplest form(5 marks)
(a) 2/5 + 1/5 =
(b) 2/3 + 3/4 =
LCD =
8. Subtract the following like and unlike fractions.Reduce to simplest form(5 marks)
(a) 2/5 --1/5 =
(b) 2/3 --3/ 4 =
LCD =
9.Multiply the following like and unlike fractions.Reduce to simplest form(5 marks)
(a) 2/5 × 1/5
(b) 2/3 × 3/4 =
10.Divide the following like and unlike fractions.Reduce to simplest form(5 marks)
(a) 2/5 ÷ 1/5 =
(b) 2/3 ÷ 3/4 =
11. Solve the following one-step equation.
Find x! ( 4 marks)
(a) x --2 = 10
(b) x+ 2 = 10
(c) x/2 = 10
(d) 2x = 10
12.Solve each of the following multi-step equation.Find x! ( 7 marks)
(a) 2x + 2 = 12
(b) 2 (x + 2) = 12
13. Solve for x in each of the following proportion. Find x! ( 4 marks)
(a) x/ 4= 9/16
(b) 12/ 25 = x/ 100
14. Find the ratio to compare the value of:
( 3 marks)
(a) a nickel to a dime =
(b) a nickel to a quarter =
(c) a quarter to a dime =
15. Write the following ratios as fractions in lowest terms. ( 2 marks)
(a) l2: 4=
(b) 3: 15 =
16.Find the rate for each of the following.
( 2 marks)
(a) 150 km driven in 6 hours =
(b) $ 200 earn in 8 hours =
17.Simplify each of the following by performing the operations using the distributive property ( 6
marks)
(a) 4(x + y) =
(b) 2( 2x --5y) + 3 ( 4x + 5y) =
Communication( 20 marks)
18. Explain the difference between the following pairs of terms ( 14 marks)
(a) like fractions and unlike fractions
(b) arithmetics and algebra
(c) addition and subtraction
(d) multiplication and division
(e) numerator and denominator
(f) ratio and rate
(g) like terms and unlike terms
19. Explain why 3/4 and 9/16 are equivalent fractions( 2 marks)
20. Explain how you would solve for x in the following proportion. x/8 = 5/ 4 ( 2 marks)
21.Explain how you would solve the equation 5x +5 = 15 ( 2 marks)
Application ( 12 marks)
22. The temperature in Kamloops is 3°C
What is the temperature after ( 2 marks)
(a) a rise of 8° C
(b) a drop of 7°C
23.Strips of wallpaper are 6/10 m wide.How many strips of wallpaper will it take to cover a
bulletin board that is 8 m wide?(2 marks)
24. Sandy earned 15 out of 20 on a test, and Terry got 18 out of 24 on a test ( 4 marks)
(a) Express these scores as fractions in lowest terms or simplest forms.
(b) Who got the better mark? Explain.
25.In a survey, 6 out of 30 people are a sandwich for lunch.How many are a sandwich in a school
of 1120 students.Use a proportion in your solution.(4 marks)
Thinking ( 10 marks)
25. There are 1250 students in the school.
Only 800 students can be seated in the gymnasium at one time. ( 4 marks)
(a) Which fraction of the student body can be seated in the gymnasium at one time?
(b) What fraction of the student body cannot be seated in the gymnasium at one time?
26. From sea level, to the top of the stratosphere in the atmosphere, the temperature drops 3° C
per km.(6 marks)
(a) If this distance is 27 km, what is the total temperature change?
(b) What is the temperature at the top of the stratosphere when the temperature at sea level is
30°C?