Transitions Math | Unit 1 Quiz | Integers And Expressions

The temperature at 3PM was 9 degrees. From 3PM to midnight, the temperature dropped by 11 degrees. Therefore, to find the temperature at midnight, we subtract 11 degrees from 9 degrees, resulting in -2 degrees.

The given expression 2m - 3 is evaluated when m = -4. Substituting -4 for m, we get 2(-4) - 3. Simplifying this expression, we get -8 - 3 which equals -11. Therefore, the correct answer is -11.

The expression 5t + 4 means to multiply 5 by the value of t and then add 4. In this case, t is given as 3. So, we substitute t with 3 in the expression and evaluate it. 5 multiplied by 3 is 15, and then adding 4 gives us a result of 19.

The given expression involves the use of order of operations (also known as PEMDAS/BODMAS). First, we substitute the values of p and y into the expression. Then, we simplify the expression by evaluating the absolute value of 2p, which is 8. Next, we subtract y from 3, resulting in 1. Finally, we subtract 5 from the sum of 8 and 1, giving us a final answer of -12.

To evaluate the expression, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right). First, substitute r with 15 in the expression. Then, divide 15 by 3, which equals 5. Next, multiply 8 by -5, which equals -40. Finally, subtract 5 from 4 and add the result to -40, giving us -41 as the final answer.

The number -5 has the least value among the given numbers. This is because -5 is the smallest negative number, and it is smaller than -3, 0, and 1.

The number 1 has the greatest value because it is the only positive number among the given options. Both -4 and -8 are negative numbers, while 0 and -2 are non-positive numbers. Therefore, 1 is the largest number in this set.

The given expression is solved using the order of operations, which states that calculations inside parentheses should be done first. In this case, we have (3 + 7) x 2 - (10 + 6). First, we solve the addition inside the parentheses: (3 + 7) = 10 and (10 + 6) = 16. Now we can simplify the expression: 10 x 2 - 16. Multiplication is done before subtraction, so 10 x 2 = 20. Finally, we subtract 16 from 20, which gives us the answer of 4.

The temperature at 6 AM was -4 degrees in Alaska. By noon, the temperature had risen 15 degrees. To find the temperature at noon, we add the rise of 15 degrees to the initial temperature of -4 degrees. -4 + 15 = 11 degrees. Therefore, the temperature at noon was 11 degrees.

To find the answer, we need to subtract -6 from -19. When subtracting a negative number, we can rewrite it as addition. So, -19 - (-6) becomes -19 + 6. Adding -19 and 6 gives us -13. Therefore, the correct answer is -13.

The correct expression that represents the total cost after admission is paid for one person and he/she rides "r" rides is 6 + 2r. This is because the admission cost is a fixed amount of $6, and for each ride, an additional $2 is charged. Therefore, the total cost can be calculated by multiplying the number of rides by $2 and adding the admission cost of $6.

At the start of the week, Lisa had $158 in the bank. She then deposited $50 on Monday, which means her total amount in the bank increased to $158 + $50 = $208. However, on Thursday, she withdrew $40 from her account, so the total amount in the bank now is $208 - $40 = $168. Therefore, the correct answer is $168.

The given expression is -5 multiplied by 4. When we multiply a negative number by a positive number, the result is always negative. Therefore, -5 * 4 equals -20.

The given expression involves the absolute values of -12 and 4. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. Therefore, the absolute value of -12 is 12 and the absolute value of 4 is 4. Adding these two values together gives us 16, which is the correct answer.

When adding two negative numbers, the rule is to add their absolute values and keep the negative sign. In this case, the absolute values of -4 and -5 are 4 and 5 respectively. Adding them together gives 9. Since both numbers are negative, the answer is -9.

When dividing 36 by -6, we get -6 as the quotient. This is because when we divide a positive number by a negative number, the result is always negative. In this case, 36 divided by -6 equals -6.

The given expression |-3| + -2 can be simplified as 3 + (-2), which equals 1. The absolute value of -3 is 3, and adding -2 to it gives us 1.

The given expression is -9+6. When we subtract 9 from 6, we get -3. Therefore, the correct answer is -3.

The correct answer is "two plus a number multiplied by seven." This phrase represents the expression 7x + 2 because it states that we have a number (represented by x) and we multiply it by seven, and then add two.

The equation A = (5)(7) can be used to find the area of a rectangle with side lengths of 5cm and 7cm. This equation represents the formula for finding the area of a rectangle, which is the product of its length and width. In this case, the length is 5cm and the width is 7cm, so multiplying these values together gives the area of the rectangle.

The verbal expression "x decreased by nine" represents the subtraction of nine from x, which is the opposite of 9 - x. Therefore, it does NOT represent 9 - x.

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