Grade 7 General
EOT2 Coverage 2023-2024
AL Hemma School C2
Part 1
Multiple Choice Qestions
(15 questions, 4 marks each, Paper-Based)
Use different methods to subtract linear expressions.
= (5𝒙 - 3) - (2𝒙 - 7)
= (5𝒙 - 3) + - (2𝒙 - 7)
= (5𝒙 - 3) + (-2𝒙 + 7)
= (5𝒙 + -2𝒙) + (-3 + 7)
= (5 + -2)𝒙 + (-3 + 7)
= 3𝒙 + 4
Use different methods to subtract linear expressions.
14. The table shows the sales of plain and Asiago cheese bagels at a bakery for h hours. After 6 hours, how much more will the bakery have made in sales of Asiago cheese bagels than the sales of plain bagels ?
= (12h + 7) - (7h - 4)
= (12h + 7) + - (7h - 4)
= (12h + 7) + (-7h + 4)
= (12h + -7h) + (7 + 4)
= (12 + -7)h + (7 + 4)
= 5 h + 11
= 5 (6) + 11
= 30 + 11
= 41
41 × $1.50 = $61.50
In 6 hours, they sold 41 more Asiago bagels.
They made $61.50 more in Asiago bagel sales.
Use different methods to subtract linear expressions.
15. Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks. After 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn ?
= (8w + 9) - (6w - 1)
= (8w + 9) + - (6w - 1)
= (8w + 9) + (-6w + 1)
= (8w + -6w) + (9 + 1)
= (8 + -6)w + (9 + 1)
= 2 w + 10
= 2 (12) + 10
= 24 + 10
= 34
34 × $11 = $374
In 12 weeks, he sold 34 more buttered popcorn.
He made $11 × 34 = $374 more in buttered popcorn.
Use inverse operations to solve two-step equations of the form p(x + q) = r.
Use inverse operations to solve two-step equations of the form p(x + q) = r.
Write one-step addition and subtraction inequalities from real-world situations and use inverse operations to solve the inequalities.
Write one-step addition and subtraction inequalities from real-world situations and use inverse operations to solve the inequalities.
Identify vertical and adjacent angles and use them to write and solve equations to find unknown angle measures.
Identify vertical and adjacent angles and use them to write and solve equations to find unknown angle measures.
Combine operations to simplify linear expressions.
= 3 (𝒙) + 3 (4) + 5 𝒙
= 3 𝒙 + 12 + 5 𝒙
= 3 𝒙 + 5 𝒙 + 12
= 8 𝒙 + 12
= 4 (2𝒙 + 3)
= -4 (𝒙) + -4 (1) + 6 𝒙
= -4 𝒙 + -4 + 6 𝒙
= -4 𝒙 + 6 𝒙 + -4
= 2 𝒙 – 4
= 2 (𝒙 – 2)
= -5 (2𝒙) + -5 (-6) + 25 𝒙
= -10 𝒙 + 30 + 25 𝒙
= -10 𝒙 + 25 𝒙 + 30
= 15 𝒙 + 30
= 15 (𝒙 + 2)
Combine operations to simplify linear expressions.
= 2 (-8𝒙) + 2 (-3) + 18 𝒙
= -16 𝒙 + -6 + 18 𝒙
= -16 𝒙 + 18 𝒙 + -6
= 2 𝒙 + -6
= 2 (𝒙 – 3)
Combine operations to simplify linear expressions.
Use inverse operations to solve two-step equations of the form px + q = r,
Write two-step inequalities from real-world situations and use inverse operations to solve inequalitie.
Use inverse operations to solve two-step equations of the form px + q = r,
Write two-step inequalities from real-world situations and use inverse operations to solve inequalitie.
Use inverse operations to solve two-step equations of the form px + q = r,
Write two-step inequalities from real-world situations and use inverse operations to solve inequalitie.
Use inverse operations to solve two-step equations of the form px + q = r,
Write two-step inequalities from real-world situations and use inverse operations to solve inequalitie.
Simplify algebraic expressions by identifying and combining like terms.
= – y + 9z + (– 16y) + (– 25z) + 4
= – y + (– 16y) + 9z + (– 25z) + 4
= (– 1 + – 16)y + (9 + – 25)z + 4
= – 17y + –16z + 4
= 8 z + 𝒙 + (– 5) + (– 9z) + 2
= 8 z + (– 9z) + 𝒙 + (– 5) + 2
= (8 + – 9)z + 𝒙 + (– 5 + 2)
= – z + 𝒙 – 3
= 5 c + (– 3d) + (– 12c) + d – 6
= 5 c + (– 12 c) + (– 3d) + d – 6
= (5 + – 12)c + (– 3 + 1)d – 6
= – 7 c + – 2 d – 6
Use different methods to add linear expressions.
= (8𝒙 + 9) + (- 6𝒙 + - 2)
= (8𝒙 + - 6𝒙) + (9 + - 2)
= (8 + - 6) 𝒙 + (9 + - 2)
= 2 𝒙 + 7
= (5𝒙 + 4) + (- 8𝒙 + - 2)
= (5𝒙 + - 8𝒙) + (4 + - 2)
= (5 + - 8) 𝒙 + (4 + - 2)
= - 3 𝒙 + 2
= (- 7𝒙 + 1) + (4𝒙 + - 5)
= (- 7 𝒙 + 4𝒙) + (1 + - 5)
= (- 7 + 4) 𝒙 + (1 + - 5)
= - 3 𝒙 – 4
= (- 3𝒙 + - 9) + (4𝒙 + 8)
= (- 3 𝒙 + 4𝒙) + (- 9 + 8)
= (- 3 + 4) 𝒙 + (- 9 + 8)
= 𝒙 – 1
= (- 5𝒙 + 4) + (- 9𝒙 + - 3)
= (- 5𝒙 + - 9𝒙) + (4 + - 3)
= (- 5 + - 9) 𝒙 + (4 + - 3)
= - 14 𝒙 + 1
= (- 2𝒙 + 10) + (- 8𝒙 + - 1)
= (- 2𝒙 + - 8𝒙) + (10 + - 1)
= (- 2 + - 8) 𝒙 + (10 + - 1)
= - 10 𝒙 + 9
Use different methods to add linear expressions.
Use different methods to add linear expressions.
Use GCFs to factor linear expressions.
Use GCFs to factor linear expressions.
5 𝒙 = 5 • 𝒙
35 = 5 • 7
Common Factors: 5
Greatest Common Factor: 5
5𝒙 + 35 = 5 (𝒙) + 5 (7)
= 5 (𝒙 + 7)
8 𝒙 = 2 • 2 • 2 • 𝒙
14 = 2 • 7
Common Factors: 2
Greatest Common Factor: 2
8𝒙 – 14 = 2 (4𝒙) - 2 (7)
= 2 (4𝒙 - 7)
3 𝒙 = 3 • 𝒙
11 y = 11 • y
There are no Common Factors.
3𝒙 + 11y can not be factored.
Use GCFs to factor linear expressions.
32 𝒙 = 2 • 2 • 2 • 2 • 2 • 𝒙
15 = 3 • 5
There are no Common Factors.
32𝒙 – 15 can not be factored.
72 𝒙 = 2 • 2 • 2 • 3 • 3 • 𝒙
18 𝒙 y = 2 • 3 • 3 • 𝒙 • y
Common Factors: 2 • 3 • 3 • 𝒙
Greatest Common Factor: 18 𝒙
72𝒙 – 18𝒙y = 18 𝒙 (4) - 18 𝒙 (y)
= 18 𝒙 (4 - y)
45 𝒙 y = 3 • 3 • 5 • 𝒙 • y
81 y = 3 • 3 • 3 • 3 • y
Common Factors: 3 • 3 • y
Greatest Common Factor: 9 y
45𝒙y – 81y = 9 y (5𝒙) - 9 y (9)
= 9 y (5𝒙 - 9)
Use GCFs to factor linear expressions.
25 𝒙 = 5 • 5 • 𝒙
14 y = 2 • 7 • y
There are no Common Factors.
25𝒙 + 14y can not be factored.
Simplify algebraic expressions by identifying and combining like terms.
= 2 (-3𝒙) + 2 (5)
= - 6𝒙 + 10
= 6 (-4𝒙) + 6 (3y)
= - 24𝒙 + 18y
= 5 (3y) - 5 (2z)
= 15y – 10z
= 4 (-2𝒙) - 4 (7)
= -8𝒙 - 28
= -7 (𝒙) - -7 (2)
= -7𝒙 + 14
= -3 (8𝒙) - 3 (-4)
= -24𝒙 + 12
Write one-step equations involving integers and rational numbers and use inverse operations to solve the equations.
6 + y = - 8 Write the equation.
- 6 = - 6 Subtract 6 from each side.
y = - 14 Simplify.
Check:
6 + y = - 8 Write the equation.
6 + - 14 ≟ - 8 Replace y with - 14.
- 8 = - 8 ✔
This sentence is true.
The solution is - 14.
Write one-step equations involving integers and rational numbers and use inverse operations to solve the equations.
c – 5.3 = - 6.4 Write the equation.
+ 5.3 = + 5.3 Add 5.3 to each side.
c = - 1.1 Simplify.
Check:
c – 5.3 = - 6.4 Write the equation.
-1.1 – 5.3 ≟ - 6.4 Replace c with -1.1
- 6.4 = - 6.4 ✔
This sentence is true.
The solution is – 1.1
Write one-step equations involving integers and rational numbers and use inverse operations to solve the equations.
Write one-step equations involving integers and rational numbers and use inverse operations to solve the equations.
Write two-step equations of the form px + q = r and use inverse operations to solve the equations.
Write two-step equations of the form px + q = r and use inverse operations to solve the equations.
Write two-step equations of the form p(x + q) = r and use inverse operations to solve the equations.
Write two-step equations of the form p(x + q) = r and use inverse operations to solve the equations.
Use inverse operations to solve one-step addition and subtraction inequalities.
Use inverse operations to solve one-step addition and subtraction inequalities.
Part 2
Free Response Questions
(4 questions, 5-10 marks each, Paper-Based)
Use inverse operations to solve one-step multiplication and division inequalities with positive coefficients.
Use inverse operations to solve one-step multiplication and division inequalities with positive coefficients.
Use inverse operations to solve one-step multiplication and division inequalities with negative coefficients.
Use inverse operations to solve one-step multiplication and division inequalities with negative coefficients.
Write one-step multiplication and division inequalities from real-world situations and use inverse operations to solve the inequalities.
Write one-step multiplication and division inequalities from real-world situations and use inverse operations to solve the inequalities.
Identify complementary and supplementary angles and use them to write and solve equations to find unknown angle measures.
Identify complementary and supplementary angles and use them to write and solve equations to find unknown angle measures.
Identify complementary and supplementary angles and use them to write and solve equations to find unknown angle measures.
Classify and draw triangles freehand, with tools, and with technology given certain conditions, such as angle measures or side lengths.
Classify and draw triangles freehand, with tools, and with technology given certain conditions, such as angle measures or side lengths.
THE END
Good Luck ☺