1.
Expand : 5(12c + 7) - (1 - 55c)
Correct Answer
D. 60c + 35 - 1 + 55c = 115c + 34
Explanation
The given expression is simplified by distributing the 5 to both terms inside the parentheses and simplifying the expression inside the second set of parentheses. This results in 60c + 36 - 1 + 55c. The terms 36 and -1 can be combined to give 35, and the terms 60c and 55c can be combined to give 115c. Therefore, the expression simplifies to 115c + 35. However, the given answer is 115c + 34, which is incorrect.
2.
Algebra is the study of triangles.
Correct Answer
B. False
Explanation
Algebra is not the study of triangles. Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and analyze relationships between variables. The study of triangles falls under the branch of mathematics known as geometry. Therefore, the statement "Algebra is the study of triangles" is false.
3.
Find x
2x + 3 = 7x - 3
Correct Answer
C. 3c + 3c = 7x - 2x 6 = 5x 6/5 = x 1.2 = x
4.
This sum is incorrect :
3-3+8-5x = 13x
Correct Answer
B. False
5.
Trigonometry is also called algebra.
Correct Answer
B. False
Explanation
Trigonometry is not called algebra. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It involves the study of trigonometric functions such as sine, cosine, and tangent. Algebra, on the other hand, is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and express relationships. While there may be some overlap between the two subjects, they are distinct fields of study. Therefore, the statement that trigonometry is also called algebra is false.
6.
000.33333333330000 *10^{9}
Correct Answer
B. 333333333.3
Explanation
The given expression is a multiplication problem involving a decimal number and a large integer. When we multiply 000.33333333330000 by 109, we move the decimal point of the decimal number 9 places to the right, resulting in 333333333.3. Therefore, the correct answer is 333333333.3.
7.
An ice cream costs c pence and a pizza costs d pence. Write down an expression for the cost of 2 ice creams and 2 pizzas.
Correct Answer
C. 2c + 2d
Explanation
The expression 2c + 2d represents the cost of 2 ice creams and 2 pizzas. This is because we are multiplying the cost of one ice cream (c) by 2 to get the cost of 2 ice creams, and multiplying the cost of one pizza (d) by 2 to get the cost of 2 pizzas. Then, we add the cost of 2 ice creams and the cost of 2 pizzas together to get the total cost.
8.
Algebra is only usable in geometry.
Correct Answer
B. False
Explanation
This statement is false. Algebra is not only usable in geometry but is also applicable in various other branches of mathematics, as well as in physics, engineering, economics, and many other fields. Algebra is a fundamental tool for solving equations, expressing relationships between variables, and analyzing patterns and structures. It provides a powerful framework for problem-solving and modeling in a wide range of disciplines.
9.
A car costs a pence and a bike costs b pence. Write down an expression that defines the cost of 2 cars and 2 bikes.
Correct Answer
A. 2a + 2b
Explanation
The expression 2a + 2b defines the cost of 2 cars and 2 bikes. This expression represents adding the cost of two cars (2a) and the cost of two bikes (2b) together.
10.
4m+5+2m-1
This expression can be simplified as 6m + 6.
Correct Answer
B. False
Explanation
The given expression is 4m + 5 + 2m - 1. To simplify this expression, we can combine like terms by adding the coefficients of m. The coefficients of m are 4 and 2, which add up to 6. Therefore, the simplified expression is 6m. Similarly, we can combine the constants 5 and -1, which add up to 4. Therefore, the simplified expression is 6m + 4. Therefore, the statement "This expression can be simplified as 6m + 6" is false.