Math For Chemistry Quiz 1

1) X + 13 = 25

38

12

-12

-38

The equation X + 13 = 25 can be solved by subtracting 13 from both sides of the equation. This gives us X = 12. Therefore, the correct answer is 12.

Explanation

The equation X + 13 = 25 can be solved by subtracting 13 from both sides of the equation. This gives us X = 12. Therefore, the correct answer is 12.

2) Evaluate means :

The number in front of the variable

Replace each variable with a number and follow the order of operations

The repeated factor of a number in exponential form

A set of whole number and their opposites

The term "evaluate" in mathematics refers to the process of substituting variables with specific numbers and performing the necessary operations according to the order of operations. This allows us to find the numerical value of an expression or equation.

Explanation

The term "evaluate" in mathematics refers to the process of substituting variables with specific numbers and performing the necessary operations according to the order of operations. This allows us to find the numerical value of an expression or equation.

3) The number in front of the variable is the ______

The number in front of the variable is referred to as the coefficient. Coefficients are used to multiply the variable in an algebraic expression or equation. They indicate the quantity or scale of the variable's value.

Explanation

The number in front of the variable is referred to as the coefficient. Coefficients are used to multiply the variable in an algebraic expression or equation. They indicate the quantity or scale of the variable's value.

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5) Meaghan was asked to solve the following 4m + 8 = -27 + 81m. What the second step she should perform?

The second step Meaghan should perform is to combine like terms. In the given equation, 4m and 81m are like terms as they both have the variable m. By combining these terms, Meaghan can simplify the equation and solve for the value of m.

Explanation

The second step Meaghan should perform is to combine like terms. In the given equation, 4m and 81m are like terms as they both have the variable m. By combining these terms, Meaghan can simplify the equation and solve for the value of m.

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6) Solve -5 = c/7

-7/5

-12

-5/7

-35

To solve the equation -5 = c/7, we need to isolate the variable c. We can do this by multiplying both sides of the equation by 7, which cancels out the denominator on the right side. This gives us -35 = c. Therefore, the value of c that satisfies the equation is -35.

Explanation

To solve the equation -5 = c/7, we need to isolate the variable c. We can do this by multiplying both sides of the equation by 7, which cancels out the denominator on the right side. This gives us -35 = c. Therefore, the value of c that satisfies the equation is -35.

7) 6 + x/4 = -1

.8

-28

-20

20

To solve the equation 6 + x/4 = -1, we need to isolate the variable x. First, we subtract 6 from both sides to get x/4 = -7. Then, we multiply both sides by 4 to eliminate the fraction, which gives us x = -28. Therefore, the correct answer is -28.

Explanation

To solve the equation 6 + x/4 = -1, we need to isolate the variable x. First, we subtract 6 from both sides to get x/4 = -7. Then, we multiply both sides by 4 to eliminate the fraction, which gives us x = -28. Therefore, the correct answer is -28.

8) Solve the following m/4 + 9/8. What is the first step; you must have identical?

Numerators

Variables

Denominators

Fractions

To solve the given expression, the first step is to ensure that the denominators of the fractions are identical. This is because when adding or subtracting fractions, the denominators must be the same. In this case, the denominators are "4" and "8". To make them identical, we can find the least common multiple (LCM) of 4 and 8, which is 8. Therefore, the first step is to convert the fraction with a denominator of 4 to an equivalent fraction with a denominator of 8.

Explanation

To solve the given expression, the first step is to ensure that the denominators of the fractions are identical. This is because when adding or subtracting fractions, the denominators must be the same. In this case, the denominators are "4" and "8". To make them identical, we can find the least common multiple (LCM) of 4 and 8, which is 8. Therefore, the first step is to convert the fraction with a denominator of 4 to an equivalent fraction with a denominator of 8.

9) A term without a variable is the coefficient

True

False

constant

Explanation

constant

10) All equations have equal signs

True

False

The statement "All equations have equal signs" is true because an equation is a mathematical statement that shows the equality between two expressions using an equal sign. In an equation, both sides of the equal sign represent the same value or quantity. Without an equal sign, it would not be an equation but rather an expression or inequality. Therefore, the presence of an equal sign is a necessary condition for an equation.

Explanation

The statement "All equations have equal signs" is true because an equation is a mathematical statement that shows the equality between two expressions using an equal sign. In an equation, both sides of the equal sign represent the same value or quantity. Without an equal sign, it would not be an equation but rather an expression or inequality. Therefore, the presence of an equal sign is a necessary condition for an equation.