1.
The expression "four less than a number" is the same as which of the following?
Correct Answer
B. X-4
Explanation
The expression "four less than a number" means subtracting four from the number. Therefore, the correct expression would be x-4, where x represents the number.
2.
Which of the following does NOT mean multiplication?
Correct Answer
D. More than
Explanation
The term "more than" does not mean multiplication. It indicates a comparison or an increase in quantity, but it does not involve the mathematical operation of multiplication. Therefore, "more than" is the option that does NOT mean multiplication.
3.
The expression "twice the product of 3 and x" is the same as which of the following?
Correct Answer
C. 2(3x)
Explanation
The expression "twice the product of 3 and x" means multiplying 3 and x together and then multiplying the result by 2. This can be represented as 2(3x), where 2 is multiplied by the product of 3 and x.
4.
Which of the following is the expression in words for 3x - 4.
Correct Answer
A. 4 less than the product of 3 and x
Explanation
The given expression, 3x - 4, can be expressed in words as "4 less than the product of 3 and x," because it represents the result of multiplying 33 and ï¿½x and then subtracting 44 from that product.
5.
What is the algebraic expression for "four times the sum of nine and a number?"
Correct Answer
A. 4(9 + n)
6.
Three times Cassie's age increased by nine is twelve.
Correct Answer
B. 3(C + 9)=12
7.
Brett got on an elevator and rode up 10 floors. Next, he rode down 7 floors. After that, he went up 4 floors. Finally, he went down 6 floors. When he got off the elevator, he was on the 11th floor. What floor was he on when he started his ride?
Correct Answer
C. 10th floor
8.
Sara and Kim together have 15 pencils. Sara has 9 pencils. Mark and Kim together have 10 pencils. How many pencils does Mark have?
Correct Answer
D. 4
9.
Steve has x dollars in his bank account. He deposits $10 each week for 3 weeks. His bank balance now is $70. What is x? ( How much money did he have to start?)
Correct Answer
C. $40
10.
What is the algebraic expression for "a number f decreased by 18"?
Correct Answer
C. F - 18
Explanation
The algebraic expression for "a number f decreased by 18" can be represented as f−18 In this expression, f represents the number, and subtracting 18 from f accounts for the decrease by 18.
11.
If m = 17, what is the sum of 5 and m?
Correct Answer
B. 22
Explanation
If ( m = 17 ), and we want to find the sum of 5 and ( m ), we can represent it algebraically as ( 5 + m ). Then we substitute the value of ( m ) into the expression:
[ 5 + m = 5 + 17 = 22 ]
So, the sum of 5 and ( m ) when ( m = 17 ) is 22.
12.
What is the difference between an expression and an equation?
Correct Answer
B. An equation has an equal sign, but an expression does not.
Explanation
An equation and an expression are both fundamental components of algebraic notation, but they serve different purposes. An equation represents a mathematical statement asserting the equality of two expressions and is denoted by an equal sign, such as \(x + 3 = 7\). Conversely, an expression consists of variables, constants, and operators, representing a mathematical phrase without asserting equality, like \(2x + 5\). While equations are used to solve for unknown variables, expressions are used to represent mathematical relationships or quantities. In essence, equations provide a framework for problem-solving, while expressions serve as the building blocks for mathematical operations and calculations.
13.
What does 25k mean?
Correct Answer
C. The product of 25 and k
Explanation
The correct answer is "the product of 25 and k". In mathematics, when two numbers are multiplied together, the result is called their product. Therefore, when we multiply 25 and k, we get the value of 25k.
14.
Twenty-two times h plus three
Correct Answer
A. H x 22 + 3
15.
Twenty-two times a number, a, decreased by three
Correct Answer
A. 22 x a - 3
Explanation
The given expression "22 x a - 3" represents the phrase "twenty-two times a number, a, decreased by three". This can be understood by breaking down the expression: "22 x a" means multiplying 22 by a, and then subtracting 3 from the result. Therefore, the correct answer is "22 x a - 3".
16.
The sum of three and twenty-two, then divided by the number a
Correct Answer
A. (3 + 22) / a
Explanation
The correct answer is (3 + 22) / a. This is because the question states that the sum of three and twenty-two should be divided by the number a. So, we first add three and twenty-two to get twenty-five, and then divide it by a.
17.
Fill in the blank!
A _________ is a letter that represents a number(of something).
Correct Answer
variable
Explanation
The correct answer is "variable". In mathematics and programming, a variable is a symbol or letter that represents a value or quantity that can change. It is used to store and manipulate data in a program or equation.
18.
Please fill answer below
The ____________ of a variable is the number in front of the variable.
Correct Answer
coefficient
Explanation
The coefficient of a variable in an algebraic expression is the numerical factor that is multiplied by the variable. For instance, in the expression (3x), the coefficient of (x) is (3). Similarly, in the expression (2y), the coefficient of (y) is (2). Coefficients provide information about the scale or magnitude of the variable's contribution to the expression. They help quantify the relationship between the variable and other terms in the expression. In summary, the coefficient represents the factor by which the variable is multiplied in the expression.
19.
The coefficient of x when you have 1.55x is.....
Correct Answer
C. 1.55
Explanation
The coefficient of x in the expression 1.55x is 1.55. In algebraic expressions, the coefficient is the number that multiplies the variable. In this case, x is being multiplied by 1.55, so 1.55 is the coefficient of x.
20.
The coefficient of y when you have 22y/9 is.....
Correct Answer
B. 22/9
Explanation
The coefficient of y in the expression 22y/9 is 22/9. The coefficient is the number that multiplies the variable, in this case, y. In the given expression, 22 is the numerator and 9 is the denominator, so the coefficient is 22/9.
21.
Translate from an English expression into an Algebraic expression:
a decreased by 17
***answer with NO SPACES*** Example: x+5
Correct Answer
a-17
Explanation
The correct answer is "a-17" or "A-17". This is because the phrase "a decreased by 17" can be translated into algebraic expression by subtracting 17 from the variable "a". The expression "a-17" represents the variable "a" decreased by 17. Similarly, "A-17" represents the variable "A" decreased by 17.
22.
Translate from an English expression into an Algebraic expression:
the ratio of m and n
***answer with NO SPACES*** Example: x+5
Correct Answer
m/n
Explanation
The given correct answer is m/n, M/N. This is because the expression "the ratio of m and n" can be represented algebraically as m/n or M/N, where m and n are variables representing any real numbers.
23.
Translate from an English expression into an Algebraic expression:
8 less than the sum of a and b
***answer with NO SPACES*** Example: x+5
Correct Answer
(a+b)-8
Explanation
The correct answer is (a+b)-8. The expression "8 less than the sum of a and b" can be translated into algebraic notation by subtracting 8 from the sum of a and b.
24.
Translate from an English expression into an Algebraic expression:
15 more than one third x
***answer with NO SPACES*** Example: (1/2)x+5
***do not use a decimal number for "one third"
Correct Answer
15+1/3x, 15+(1/3)x
Explanation
The English expression "15 more than one-third x" can be translated into an algebraic expression as "15 + 1/3x" or "15 + (1/3)x." This expression indicates that we first find one-third of x, and then add 15 to the result.
25.
Translate from an English expression into an Algebraic expression:
The quotient of 55 and z
***answer with NO SPACES*** Example: x+5
Correct Answer
55/z
Explanation
The given expression "the quotient of 55 and z" can be translated into an algebraic expression as 55/z. This expression indicates that we divide 55 by the variable z to find the quotient.
26.
All of the following OPERATIONS. True or false?
+ , - , x , /
Correct Answer
A. True
Explanation
Addition (+), subtraction (-), multiplication (×), and division (/) are indeed mathematical operations used to perform calculations on numbers or quantities. Therefore, all of the listed symbols are operations.