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Самостоятельная работа по математике, 7 класс: Integers and rational numbers. 11 заданий с ответами и объяснениями. Темы: Integers and rational numbers, Fractions and decimals, Ratios and proportions, Expressions and equations, Geometry and measurement. Длительность — 55 мин.
Задания самостоятельной работы
Ниже — полный список заданий с правильными ответами и объяснениями. На занятии репетитор может скрыть ответы и открывать их после того, как ученик попробует ответить сам.
1
What is the value of -7 + 12?
-19
5
-5
19
Объяснение: Add 12 to -7: moving 12 units to the right on the number line gives 5.
2
Which fraction is equivalent to 3/4?
6/8
3/8
9/16
12/20
Объяснение: Multiply the numerator and denominator by the same number: 3/4 = 6/8.
3
What is 2.5 × 4?
10
1
9
12
Объяснение: Multiplying 2.5 by 4 gives 10.
4
A recipe uses 3 cups of flour for 2 cakes. How many cups of flour are needed for 6 cakes if the ratio stays the same?
6 cups
8 cups
9 cups
12 cups
Объяснение: 6 cakes is 3 times as many as 2 cakes, so multiply 3 cups by 3 to get 9 cups.
5
Simplify the expression 4x + 3x - 2.
7x - 2
7x + 2
x + 2
12x - 2
Объяснение: Combine like terms: 4x + 3x = 7x, so the expression becomes 7x - 2.
6
Solve for x: x + 9 = 17
6
7
8
26
Объяснение: Subtract 9 from both sides: x = 17 - 9 = 8.
7
What is the area of a rectangle with length 8 cm and width 5 cm?
13 cm²
40 cm²
26 cm²
20 cm²
Объяснение: Area of a rectangle is length × width: 8 × 5 = 40 cm².
8
Which number is greater than -3?
-8
-5
0
-12
Объяснение: Any positive number or zero is greater than a negative number like -3.
9
A shirt costs $24 and is discounted by 25%. What is the sale price?
$6
$12
$18
$20
Объяснение: 25% of $24 is $6, so the sale price is $24 - $6 = $18.
10
If 5 notebooks cost $15, what is the cost of 1 notebook?
$2
$3
$5
$10
Объяснение: Divide the total cost by the number of notebooks: 15 ÷ 5 = 3.
11
What is the value of 3^2 + 4^2?
25
49
12
7
Объяснение: 3^2 = 9 and 4^2 = 16, so 9 + 16 = 25.
